Patrick Hayden
Stanford Professor of Quantum Physics
Bio
Professor Hayden is a leader in the exciting new field of quantum information science. He has contributed greatly to our understanding of the absolute limits that quantum mechanics places on information processing, and how to exploit quantum effects for computing and other aspects of communication. He has also made some key insights on the relationship between black holes and information theory.
Administrative Appointments
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Director, It from Qubit: Simons Collaboration on Quantum Fields, Gravity, and Information (2015 - Present)
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Professor of Physics, Stanford University (2013 - Present)
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Associate Professor of Computer Science, McGill University (2008 - 2013)
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Canada Research Chair in the Physics of Information, McGill University (2005 - 2013)
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Assistant Professor of Computer Science, McGill University (2004 - 2008)
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Sherman Fairchild Prize Doctoral Fellow, California Institute of Technology (2001 - 2004)
Honors & Awards
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Simons Investigator, Simons Foundation (2014-)
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Outstanding Young Computer Science Researcher Prize, Canadian Association of Computer Science (2011)
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Distinguished Research Chair, Perimeter Institute for Theoretical Physics (2010-)
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Fellow, Canadian Institute for Advanced Research (2010-)
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Sloan Research Fellowship in Computer Science, Alfred P. Sloan Foundation (2007-2009)
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General Dynamics Distinguished Lecturer, University of Michigan Department of Electrical Engineering and Computer Science (2006)
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Scholar, Canadian Institute for Advanced Research (2004-2009)
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Rhodes Scholarship, University of Oxford (1998-2001)
Professional Education
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D.Phil., University of Oxford, Physics (2001)
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B.Sc., McGill University, Mathematics and physics (1998)
Patents
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Patrick Hayden, Robin Burgener. "United States Patent 5,745,759 Window Kernel", Apr 28, 1998
2024-25 Courses
- Advanced Mechanics
PHYSICS 110, PHYSICS 210 (Aut) - Advanced Topics in Quantum Mechanics
PHYSICS 134, PHYSICS 234 (Win) - Department Colloquium
APPPHYS 300 (Aut, Win) - Department Colloquium
PHYSICS 302 (Aut, Win, Spr) -
Independent Studies (7)
- Advanced Reading and Research
CS 499 (Aut, Win, Spr, Sum) - Advanced Reading and Research
CS 499P (Aut, Win, Spr, Sum) - Curricular Practical Training
PHYSICS 291 (Aut, Win, Spr, Sum) - Independent Research and Study
PHYSICS 190 (Aut, Win, Spr, Sum) - Part-time Curricular Practical Training
CS 390D (Aut, Win, Spr, Sum) - Research
PHYSICS 490 (Aut, Win, Spr, Sum) - Senior Thesis Research
PHYSICS 205 (Aut, Win, Spr, Sum)
- Advanced Reading and Research
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Prior Year Courses
2023-24 Courses
- Department Colloquium
APPPHYS 300 (Aut, Win) - Department Colloquium
PHYSICS 302 (Aut, Win, Spr) - Light and Heat
PHYSICS 45 (Aut)
2022-23 Courses
- Department Colloquium
APPPHYS 300 (Win) - Department Colloquium
PHYSICS 302 (Win, Spr) - Light and Heat
PHYSICS 45 (Aut)
2021-22 Courses
- Advanced Mechanics
PHYSICS 110, PHYSICS 210 (Aut)
- Department Colloquium
Stanford Advisees
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Doctoral Dissertation Reader (AC)
Connie Miao -
Postdoctoral Faculty Sponsor
Jinzhao Wang -
Doctoral Dissertation Advisor (AC)
Dan Stefan Eniceicu, Jiani Fei, Arjun Mirani, Sydney Timmerman, Michelle Xu -
Doctoral Dissertation Co-Advisor (AC)
Jordan Docter, Jean Wang -
Doctoral (Program)
Jessica Yeh
All Publications
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Security of quantum position-verification limits Hamiltonian simulation via holography
JOURNAL OF HIGH ENERGY PHYSICS
2024
View details for DOI 10.1007/JHEP08(2024)152
View details for Web of Science ID 001295052000008
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Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
QUANTUM
2023; 7
View details for Web of Science ID 001053912900001
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Reflected entropy: Not a correlation measure
PHYSICAL REVIEW A
2023; 107 (5)
View details for DOI 10.1103/PhysRevA.107.L050401
View details for Web of Science ID 001006608500003
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Perturbative Quantum Simulation.
Physical review letters
2022; 129 (12): 120505
Abstract
Approximation based on perturbation theory is the foundation for most of the quantitative predictions of quantum mechanics, whether in quantum many-body physics, chemistry, quantum field theory, or other domains. Quantum computing provides an alternative to the perturbation paradigm, yet state-of-the-art quantum processors with tens of noisy qubits are of limited practical utility. Here, we introduce perturbative quantum simulation, which combines the complementary strengths of the two approaches, enabling the solution of large practical quantum problems using limited noisy intermediate-scale quantum hardware. The use of a quantum processor eliminates the need to identify a solvable unperturbed Hamiltonian, while the introduction of perturbative coupling permits the quantum processor to simulate systems larger than the available number of physical qubits. We present an explicit perturbative expansion that mimics the Dyson series expansion and involves only local unitary operations, and show its optimality over other expansions under certain conditions. We numerically benchmark the method for interacting bosons, fermions, and quantum spins in different topologies, and study different physical phenomena, such as information propagation, charge-spin separation, and magnetism, on systems of up to 48 qubits only using an 8+1 qubit quantum hardware. We demonstrate our scheme on the IBM quantum cloud, verifying its noise robustness and illustrating its potential for benchmarking large quantum processors with smaller ones.
View details for DOI 10.1103/PhysRevLett.129.120505
View details for PubMedID 36179156
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A canonical Hamiltonian for open quantum systems
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2022; 55 (22)
View details for DOI 10.1088/1751-8121/ac65c2
View details for Web of Science ID 000793492300001
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Erasure Decoding Scheme of Topological Fault Tolerance Quantum Computation With 3D Concatenation Codes
IEEE COMPUTER SOC. 2022: 773-774
View details for DOI 10.1109/QCE53715.2022.00113
View details for Web of Science ID 000893082500096
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Fault-Tolerant Qubit from a Constant Number of Components
PRX QUANTUM
2021; 2 (4)
View details for DOI 10.1103/PRXQuantum.2.040345
View details for Web of Science ID 000727720700001
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The Markov gap for geometric reflected entropy
JOURNAL OF HIGH ENERGY PHYSICS
2021
View details for DOI 10.1007/JHEP10(2021)047
View details for Web of Science ID 000705235200006
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Recycling qubits in near-term quantum computers
PHYSICAL REVIEW A
2021; 103 (4)
View details for DOI 10.1103/PhysRevA.103.042613
View details for Web of Science ID 000646168300002
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Error Correction of Quantum Reference Frame Information
PRX QUANTUM
2021; 2 (1)
View details for DOI 10.1103/PRXQuantum.2.010326
View details for Web of Science ID 000674693600001
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Continuous Symmetries and Approximate Quantum Error Correction
PHYSICAL REVIEW X
2020; 10 (4)
View details for DOI 10.1103/PhysRevX.10.041018
View details for Web of Science ID 000582415400001
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A Quantum Multiparty Packing Lemma and the Relay Channel
IEEE TRANSACTIONS ON INFORMATION THEORY
2020; 66 (6): 3500–3519
View details for DOI 10.1109/TIT.2019.2960500
View details for Web of Science ID 000538158400012
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Bit Threads and Holographic Monogamy
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2020; 376 (1): 609–48
View details for DOI 10.1007/s00220-019-03510-8
View details for Web of Science ID 000530733400016
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Approximate Quantum Error Correction Revisited: Introducing the Alpha-Bit
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2020
View details for DOI 10.1007/s00220-020-03689-1
View details for Web of Science ID 000516015400001
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Tight Limits on Nonlocality from Nontrivial Communication Complexity; a.k.a. Reliable Computation with Asymmetric Gate Noise
IEEE. 2020: 206-217
View details for DOI 10.1109/FOCS46700.2020.00028
View details for Web of Science ID 000652333400020
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Localizing and excluding quantum Information; or, how to share a quantum secret in spacetime
QUANTUM
2019; 3
View details for Web of Science ID 000492192600001
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Quantum Virtual Cooling
PHYSICAL REVIEW X
2019; 9 (3)
View details for DOI 10.1103/PhysRevX.9.031013
View details for Web of Science ID 000477918300001
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Entanglement Wedge Reconstruction via Universal Recovery Channels
PHYSICAL REVIEW X
2019; 9 (3)
View details for DOI 10.1103/PhysRevX.9.031011
View details for Web of Science ID 000477918100001
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Conditional mutual information of bipartite unitaries and scrambling
JOURNAL OF HIGH ENERGY PHYSICS
2016
View details for DOI 10.1007/JHEP12(2016)145
View details for Web of Science ID 000391425500004
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Holographic duality from random tensor networks
JOURNAL OF HIGH ENERGY PHYSICS
2016
View details for DOI 10.1007/JHEP11(2016)009
View details for Web of Science ID 000387369600009
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Measuring the scrambling of quantum information
PHYSICAL REVIEW A
2016; 94 (4)
View details for DOI 10.1103/PhysRevA.94.040302
View details for Web of Science ID 000390069700001
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Spacetime replication of continuous variable quantum information
NEW JOURNAL OF PHYSICS
2016; 18
View details for DOI 10.1088/1367-2630/18/8/083043
View details for Web of Science ID 000384012800002
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Summoning information in spacetime, or where and when can a qubit be?
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2016; 49 (17)
View details for DOI 10.1088/1751-8113/49/17/175304
View details for Web of Science ID 000372912400019
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Bidirectional holographic codes and sub-AdS locality
JOURNAL OF HIGH ENERGY PHYSICS
2016
View details for DOI 10.1007/JHEP01(2016)175
View details for Web of Science ID 000375262800003
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Universal quantum computation by scattering in the Fermi-Hubbard model
NEW JOURNAL OF PHYSICS
2015; 17
View details for DOI 10.1088/1367-2630/17/9/093028
View details for Web of Science ID 000367362500001
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The information theoretic interpretation of the length of a curve
JOURNAL OF HIGH ENERGY PHYSICS
2015
View details for DOI 10.1007/JHEP06(2015)157
View details for Web of Science ID 000356955600001
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Multiboundary wormholes and holographic entanglement
CLASSICAL AND QUANTUM GRAVITY
2014; 31 (18)
View details for DOI 10.1088/0264-9381/31/18/185015
View details for Web of Science ID 000341484200016
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TWO-MESSAGE QUANTUM INTERACTIVE PROOFS AND THE QUANTUM SEPARABILITY PROBLEM
QUANTUM INFORMATION & COMPUTATION
2014; 14 (5-6): 384-416
View details for Web of Science ID 000333068300002
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Quantum Enigma Machines and the Locking Capacity of a Quantum Channel
PHYSICAL REVIEW X
2014; 4 (1)
View details for DOI 10.1103/PhysRevX.4.011016
View details for Web of Science ID 000332155500002
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The locking-decoding frontier for generic dynamics
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2013; 469 (2159)
View details for DOI 10.1098/rspa.2013.0289
View details for Web of Science ID 000330318600006
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From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking
JOURNAL OF THE ACM
2013; 60 (6)
View details for DOI 10.1145/2518131
View details for Web of Science ID 000329122700005
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Towards the fast scrambling conjecture
JOURNAL OF HIGH ENERGY PHYSICS
2013
View details for DOI 10.1007/JHEP04(2013)022
View details for Web of Science ID 000321208400022
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Holographic mutual information is monogamous
PHYSICAL REVIEW D
2013; 87 (4)
View details for DOI 10.1103/PhysRevD.87.046003
View details for Web of Science ID 000314686200006
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Two-message quantum interactive proofs and the quantum separability problem
28th Annual IEEE Conference on Computational Complexity (CCC)
IEEE. 2013: 156–167
View details for DOI 10.1109/CCC.2013.24
View details for Web of Science ID 000332541200016
- Quantum computation versus firewalls Journal of High Energy Physics 2013; 85
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Quantum trade-off coding for bosonic communication
PHYSICAL REVIEW A
2012; 86 (6)
View details for DOI 10.1103/PhysRevA.86.062306
View details for Web of Science ID 000312021800003
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The information-theoretic costs of simulating quantum measurements
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2012; 45 (45)
View details for DOI 10.1088/1751-8113/45/45/453001
View details for Web of Science ID 000310466800002
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Weak Decoupling Duality and Quantum Identification
IEEE TRANSACTIONS ON INFORMATION THEORY
2012; 58 (7): 4914-4929
View details for DOI 10.1109/TIT.2012.2191695
View details for Web of Science ID 000305575000054
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Classical Communication Over a Quantum Interference Channel
IEEE TRANSACTIONS ON INFORMATION THEORY
2012; 58 (6): 3670-3691
View details for DOI 10.1109/TIT.2012.2188620
View details for Web of Science ID 000304245100025
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Quantum Communication in Rindler Spacetime
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2012; 312 (2): 361-398
View details for DOI 10.1007/s00220-012-1476-1
View details for Web of Science ID 000304117200003
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Information Trade-Offs for Optical Quantum Communication
PHYSICAL REVIEW LETTERS
2012; 108 (14)
Abstract
Recent work has precisely characterized the achievable trade-offs between three key information processing tasks-classical communication (generation or consumption), quantum communication (generation or consumption), and shared entanglement (distribution or consumption), measured in bits, qubits, and ebits per channel use, respectively. Slices and corner points of this three-dimensional region reduce to well-known protocols for quantum channels. A trade-off coding technique can attain any point in the region and can outperform time sharing between the best-known protocols for accomplishing each information processing task by itself. Previously, the benefits of trade-off coding that had been found were too small to be of practical value (viz., for the dephasing and the universal cloning machine channels). In this Letter, we demonstrate that the associated performance gains are in fact remarkably high for several physically relevant bosonic channels that model free-space or fiber-optic links, thermal-noise channels, and amplifiers. We show that significant performance gains from trade-off coding also apply when trading photon-number resources between transmitting public and private classical information simultaneously over secret-key-assisted bosonic channels.
View details for DOI 10.1103/PhysRevLett.108.140501
View details for Web of Science ID 000302238900001
View details for PubMedID 22540777
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Orbits of the Centralizer of a Linear Operator
JOURNAL OF LIE THEORY
2012; 22 (4): 1039-1048
View details for Web of Science ID 000314004100005
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Quantum Broadcast Channels
IEEE TRANSACTIONS ON INFORMATION THEORY
2011; 57 (10): 7147-7162
View details for DOI 10.1109/TIT.2011.2165811
View details for Web of Science ID 000295739000057
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QUANTUM INFORMATION Entanglement as elbow grease
NATURE
2011; 474 (7349): 41-43
View details for Web of Science ID 000291156700029
View details for PubMedID 21637248
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ASSISTED ENTANGLEMENT DISTILLATION
QUANTUM INFORMATION & COMPUTATION
2011; 11 (5-6): 496-520
View details for Web of Science ID 000292172500010
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From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking
43rd ACM Symposium on Theory of Computing
ASSOC COMPUTING MACHINERY. 2011: 773–782
View details for Web of Science ID 000297656800080
- Quantum interference channels Proceedings of the 49th Allerton Conference on Communication, Control, and Computing 2011: 609–616
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Leggett-Garg inequalities and the geometry of the cut polytope
PHYSICAL REVIEW A
2010; 82 (3)
View details for DOI 10.1103/PhysRevA.82.030102
View details for Web of Science ID 000282095600001
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Conjugate degradability and the quantum capacity of cloning channels
JOURNAL OF MATHEMATICAL PHYSICS
2010; 51 (7)
View details for DOI 10.1063/1.3449555
View details for Web of Science ID 000280854500009
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Trade-off capacities of the quantum Hadamard channels
PHYSICAL REVIEW A
2010; 81 (6)
View details for DOI 10.1103/PhysRevA.81.062312
View details for Web of Science ID 000278719300001
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A Father Protocol for Quantum Broadcast Channels
IEEE TRANSACTIONS ON INFORMATION THEORY
2010; 56 (6): 2946-2956
View details for DOI 10.1109/TIT.2010.2046217
View details for Web of Science ID 000277880200035
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Concentration of Measure Effects in Quantum Information
American-Mathematical-Society Short Course on Quantum Information Science/Annual Meeting of the American-Mathematical-Society
AMER MATHEMATICAL SOC. 2010: 3–12
View details for Web of Science ID 000289580300001
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The mother of all protocols: restructuring quantum information's family tree
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2009; 465 (2108): 2537-2563
View details for DOI 10.1098/rspa.2009.0202
View details for Web of Science ID 000268021300014
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Private information via the Unruh effect
JOURNAL OF HIGH ENERGY PHYSICS
2009
View details for DOI 10.1088/1126-6708/2009/08/074
View details for Web of Science ID 000270220000074
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Counterexamples to the Maximal p-Norm Multiplicativity Conjecture for all p > 1
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2008; 284 (1): 263-280
View details for DOI 10.1007/s00220-008-0624-0
View details for Web of Science ID 000260059500009
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Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field
PHYSICAL REVIEW LETTERS
2008; 101 (18)
Abstract
Using a tilted-field geometry, the effect of an in-plane magnetic field on the even denominator nu=5/2 fractional quantum Hall state is studied. The energy gap of the nu=5/2 state is found to collapse linearly with the in-plane magnetic field above approximately 0.5 T. In contrast, a strong enhancement of the gap is observed for the nu=7/3 state. The radically distinct tilted-field behavior between the two states is discussed in terms of Zeeman and magneto-orbital coupling within the context of the proposed Moore-Read Pfaffian wave function for the 5/2 fractional quantum Hall effect.
View details for DOI 10.1103/PhysRevLett.101.186806
View details for Web of Science ID 000260574600055
View details for PubMedID 18999851
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Possibility, impossibility, and cheat sensitivity of quantum-bit string commitment
PHYSICAL REVIEW A
2008; 78 (2)
View details for DOI 10.1103/PhysRevA.78.022316
View details for Web of Science ID 000259263400052
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Capacity theorems for quantum multiple-access channels: Classical-quantum and quantum-quantum capacity regions
IEEE TRANSACTIONS ON INFORMATION THEORY
2008; 54 (7): 3091-3113
View details for DOI 10.1109/TIT.2008.924665
View details for Web of Science ID 000257111500017
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Intrinsic gap of the nu=5/2 fractional quantum Hall state
PHYSICAL REVIEW LETTERS
2008; 100 (14)
Abstract
The fractional quantum Hall effect is observed at low magnetic field where the cyclotron energy is smaller than the Coulomb interaction energy. The nu=5/2 excitation gap at 2.63 T is measured to be 262+/-15 mK, similar to values obtained in samples with twice the electronic density. Examining the role of disorder on the 5/2 state, we find that a large discrepancy remains between theory and experiment for the intrinsic gap extrapolated from the infinite mobility limit. The observation of a 5/2 state in the low-field regime suggests that inclusion of nonperturbative Landau level mixing may be necessary to fully understand the energetics of half-filled fractional quantum Hall liquids.
View details for DOI 10.1103/PhysRevLett.100.146803
View details for Web of Science ID 000254940900058
View details for PubMedID 18518063
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Distributed compression and multiparty squashed entanglement
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2008; 41 (11)
View details for DOI 10.1088/1751-8113/41/11/115301
View details for Web of Science ID 000254152700008
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A Decoupling Approach to the Quantum Capacity
OPEN SYSTEMS & INFORMATION DYNAMICS
2008; 15 (1): 7-19
View details for Web of Science ID 000262138200002
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Random Quantum Codes from Gaussian Ensembles and an Uncertainty Relation
OPEN SYSTEMS & INFORMATION DYNAMICS
2008; 15 (1): 71-89
View details for Web of Science ID 000262138200005
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Multiparty distributed compression of quantum information
2nd International Conference on Quantum, Nano and Micro Technologies
IEEE COMPUTER SOC. 2008: 90–97
View details for Web of Science ID 000267131300016
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Black holes as mirrors: quantum information in random subsystems
JOURNAL OF HIGH ENERGY PHYSICS
2007
View details for Web of Science ID 000249788800009
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Security of quantum bit string commitment depends on the information measure
PHYSICAL REVIEW LETTERS
2006; 97 (25)
Abstract
Unconditionally secure nonrelativistic bit commitment is known to be impossible in both the classical and the quantum world. However, when committing to a string of n bits at once, how far can we stretch the quantum limits? In this Letter, we introduce a framework of quantum schemes where Alice commits a string of n bits to Bob, in such a way that she can only cheat on a bits and Bob can learn at most b bits of information before the reveal phase. Our results are twofold: we show by an explicit construction that in the traditional approach, where the reveal and guess probabilities form the security criteria, no good schemes can exist: a + b is at least n. If, however, we use a more liberal criterion of security, the accessible information, we construct schemes where a = 4log2(n) + O(1) and b = 4, which is impossible classically. Our findings significantly extend known no-go results for quantum bit commitment.
View details for DOI 10.1103/PhysRevLett.97.250501
View details for Web of Science ID 000243414600005
View details for PubMedID 17280334
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On the distributed compression of quantum information
IEEE TRANSACTIONS ON INFORMATION THEORY
2006; 52 (10): 4349-4357
View details for DOI 10.1109/TIT.2006.881734
View details for Web of Science ID 000240776500001
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Optimal superdense coding of entangled states
IEEE TRANSACTIONS ON INFORMATION THEORY
2006; 52 (8): 3635-3641
View details for DOI 10.1109/TIT.2006.878174
View details for Web of Science ID 000239408700015
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Aspects of generic entanglement
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2006; 265 (1): 95-117
View details for DOI 10.1007/s00220-006-1535-6
View details for Web of Science ID 000237567800003
- Capacities enhanced by entanglement Encyclopedia of Mathematical Physics edited by Francoise, J. P., Naber, G. L., Tsou, S. T. Elsevier. 2006: 418–424
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Random subspaces for encryption based on a private shared Cartesian frame
PHYSICAL REVIEW A
2005; 72 (5)
View details for DOI 10.1103/PhysRevA.72.052329
View details for Web of Science ID 000233603400068
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Quantum information - Putting certainty in the bank
NATURE
2005; 436 (7051): 633-635
View details for DOI 10.1038/436633a
View details for Web of Science ID 000230964500024
View details for PubMedID 16079826
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Multiparty data hiding of quantum information
PHYSICAL REVIEW A
2005; 71 (6)
View details for DOI 10.1103/PhysRevA.71.062339
View details for Web of Science ID 000230275200071
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Correcting quantum channels by measuring the environment
QUANTUM INFORMATION & COMPUTATION
2005; 5 (2): 156-160
View details for Web of Science ID 000228023400006
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Capacity theorems for quantum multiple access channels
IEEE International Symposium on Information Theory and Its Applications
IEEE. 2005: 884–888
View details for Web of Science ID 000234713800185
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Remote preparation of quantum states
IEEE TRANSACTIONS ON INFORMATION THEORY
2005; 51 (1): 56-74
View details for DOI 10.1109/TIT.2004.839476
View details for Web of Science ID 000226179300004
- Quantum broadcast channels Proceedings of the ERATO Conference on Quantum Information Science 2005
- Sending classical and quantum information over quantum multiple access channels Proceedings of the ninth Canadian Workshop on Information Theory 2005: 387–390
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Quantum state transformations and the Schubert calculus
ANNALS OF PHYSICS
2005; 315 (1): 80-122
View details for DOI 10.1016/j.aop.2004.09.012
View details for Web of Science ID 000226780300004
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Randomizing quantum states: Constructions and applications
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2004; 250 (2): 371-391
View details for Web of Science ID 000224481000007
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Superdense coding of quantum states
PHYSICAL REVIEW LETTERS
2004; 92 (18)
Abstract
We describe a method for nonobliviously communicating a 2l-qubit quantum state by physically transmitting l+o(l) qubits, and by consuming l ebits of entanglement plus some shared random bits. In the nonoblivious scenario, the sender has a classical description of the state to be communicated. Our method can be used to communicate states that are pure or entangled with the sender's system; l+o(l) and 3l+o(l) shared random bits are sufficient, respectively.
View details for DOI 10.1103/PhysRevLett.92.187901
View details for Web of Science ID 000221277900063
View details for PubMedID 15169533
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Structure of states which satisfy strong subadditivity of quantum entropy with equality
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2004; 246 (2): 359-374
View details for DOI 10.1007/s00220-004-1049-z
View details for Web of Science ID 000220563600007
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Entanglement in random subspaces
7th International Conference on Quantum Communication, Measurement and Computing
AMER INST PHYSICS. 2004: 226–229
View details for Web of Science ID 000226204400051
- Conditions for equality in the strong subadditivity inequality for quantum entropy Communications of Mathematical Physics 2004; 246 (2): 359-374
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Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication
PHYSICAL REVIEW A
2003; 68 (6)
View details for DOI 10.1103/PhysRevA.68.062319
View details for Web of Science ID 000187885000037
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Hiding quantum data
FOUNDATIONS OF PHYSICS
2003; 33 (11): 1629-1647
View details for Web of Science ID 000185826600004
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Universal entanglement transformations without communication
PHYSICAL REVIEW A
2003; 67 (6)
View details for DOI 10.1103/PhysRevA.67.060302
View details for Web of Science ID 000183915200004
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Communication cost of entanglement transformations
PHYSICAL REVIEW A
2003; 67 (1)
View details for DOI 10.1103/PhysRevA.67.012326
View details for Web of Science ID 000180804600052
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Trading quantum for classical resources in quantum data compression
JOURNAL OF MATHEMATICAL PHYSICS
2002; 43 (9): 4404-4444
View details for DOI 10.1063/1.1497184
View details for Web of Science ID 000177556600017
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The asymptotic entanglement cost of preparing a quantum state
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2001; 34 (35): 6891-6898
View details for Web of Science ID 000171540700015
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Multiplayer quantum games
PHYSICAL REVIEW A
2001; 64 (3)
View details for Web of Science ID 000170978600001
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What is quantum computation?
International Conference on Fundamental Sciences, Mathematics and Theoretical Physics
WORLD SCIENTIFIC PUBL CO PTE LTD. 2001: 3335–63
View details for Web of Science ID 000170680900001
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On the reversible extraction of classical information from a quantum source
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2001; 457 (2012): 2019-2039
View details for Web of Science ID 000170428100013
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Comment on "Quantum games and quantum strategies"
PHYSICAL REVIEW LETTERS
2001; 87 (6)
View details for DOI 10.1103/PhysRevLett.87.069801
View details for Web of Science ID 000170310200057
View details for PubMedID 11497872
- What is quantum computation? International Journal of Modern Physics A 2001; 16 (20): 3335-3363
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Basic concepts in quantum computation
Les Houches Session LXXII on Coherent Atomic Matter Waves
SPRINGER-VERLAG BERLIN. 2001: 663–701
View details for Web of Science ID 000170830900010
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Geometric quantum computation
7th Meeting on Laser Phenomena
TAYLOR & FRANCIS LTD. 2000: 2501–13
View details for Web of Science ID 000165626900003
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Information flow in entangled quantum systems
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2000; 456 (1999): 1759-1774
View details for Web of Science ID 000088071500011
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What is quantum computation?
International Conference on Fundamental Sciences: Mathematics and Theoretical Physics
WORLD SCIENTIFIC PUBL CO PTE LTD. 2000: 351–383
View details for Web of Science ID 000172812900016