Patrick Hayden

All Publications

• Perturbative Quantum Simulation. Physical review letters Sun, J., Endo, S., Lin, H., Hayden, P., Vedral, V., Yuan, X. 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

• A canonical Hamiltonian for open quantum systems JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Hayden, P., Sorce, J. 2022; 55 (22)

  View details for DOI 10.1088/1751-8121/ac65c2

  View details for Web of Science ID 000793492300001

• Fault-Tolerant Qubit from a Constant Number of Components PRX QUANTUM Wan, K., Choi, S., Kim, I. H., Shutty, N., Hayden, P. 2021; 2 (4)

  View details for DOI 10.1103/PRXQuantum.2.040345

  View details for Web of Science ID 000727720700001

• The Markov gap for geometric reflected entropy JOURNAL OF HIGH ENERGY PHYSICS Hayden, P., Parrikar, O., Sorce, J. 2021

  View details for DOI 10.1007/JHEP10(2021)047

  View details for Web of Science ID 000705235200006

• Recycling qubits in near-term quantum computers PHYSICAL REVIEW A Anikeeva, G., Kim, I. H., Hayden, P. 2021; 103 (4)

  View details for DOI 10.1103/PhysRevA.103.042613

  View details for Web of Science ID 000646168300002

• Error Correction of Quantum Reference Frame Information PRX QUANTUM Hayden, P., Nezami, S., Popescu, S., Salton, G. 2021; 2 (1)

  View details for DOI 10.1103/PRXQuantum.2.010326

  View details for Web of Science ID 000674693600001

• Continuous Symmetries and Approximate Quantum Error Correction PHYSICAL REVIEW X Faist, P., Nezami, S., Albert, V. V., Salton, G., Pastawski, F., Hayden, P., Preskill, J. 2020; 10 (4)

  View details for DOI 10.1103/PhysRevX.10.041018

  View details for Web of Science ID 000582415400001

• A Quantum Multiparty Packing Lemma and the Relay Channel IEEE TRANSACTIONS ON INFORMATION THEORY Ding, D., Gharibyan, H., Hayden, P., Walter, M. 2020; 66 (6): 3500–3519

  View details for DOI 10.1109/TIT.2019.2960500

  View details for Web of Science ID 000538158400012

• Bit Threads and Holographic Monogamy COMMUNICATIONS IN MATHEMATICAL PHYSICS Cui, S. X., Hayden, P., He, T., Headrick, M., Stoica, B., Walter, M. 2020; 376 (1): 609–48

  View details for DOI 10.1007/s00220-019-03510-8

  View details for Web of Science ID 000530733400016

• Approximate Quantum Error Correction Revisited: Introducing the Alpha-Bit COMMUNICATIONS IN MATHEMATICAL PHYSICS Hayden, P., Penington, G. 2020

  View details for DOI 10.1007/s00220-020-03689-1

  View details for Web of Science ID 000516015400001

• Tight Limits on Nonlocality from Nontrivial Communication Complexity; a.k.a. Reliable Computation with Asymmetric Gate Noise Shutty, N., Wootters, M., Hayden, P., IEEE IEEE. 2020: 206-217

  View details for DOI 10.1109/FOCS46700.2020.00028

  View details for Web of Science ID 000652333400020

• Localizing and excluding quantum Information; or, how to share a quantum secret in spacetime QUANTUM Hayden, P., May, A. 2019; 3

  View details for Web of Science ID 000492192600001

• Quantum Virtual Cooling PHYSICAL REVIEW X Cotler, J., Choi, S., Lukin, A., Gharibyan, H., Grover, T., Tai, M., Rispoli, M., Schittko, R., Preiss, P. M., Kaufman, A. M., Greiner, M., Pichler, H., Hayden, P. 2019; 9 (3)

  View details for DOI 10.1103/PhysRevX.9.031013

  View details for Web of Science ID 000477918300001

• Entanglement Wedge Reconstruction via Universal Recovery Channels PHYSICAL REVIEW X Cotler, J., Hayden, P., Penington, G., Salton, G., Swingle, B., Walter, M. 2019; 9 (3)

  View details for DOI 10.1103/PhysRevX.9.031011

  View details for Web of Science ID 000477918100001

• Conditional mutual information of bipartite unitaries and scrambling JOURNAL OF HIGH ENERGY PHYSICS Ding, D., Hayden, P., Walter, M. 2016

  View details for DOI 10.1007/JHEP12(2016)145

  View details for Web of Science ID 000391425500004

• Holographic duality from random tensor networks JOURNAL OF HIGH ENERGY PHYSICS Hayden, P., Nezami, S., Qi, X., Thomas, N., Walter, M., Yang, Z. 2016

  View details for DOI 10.1007/JHEP11(2016)009

  View details for Web of Science ID 000387369600009

• Measuring the scrambling of quantum information PHYSICAL REVIEW A Swingle, B., Bentsen, G., Schleier-Smith, M., Hayden, P. 2016; 94 (4)

  View details for DOI 10.1103/PhysRevA.94.040302

  View details for Web of Science ID 000390069700001

• Spacetime replication of continuous variable quantum information NEW JOURNAL OF PHYSICS Hayden, P., Nezami, S., Salton, G., Sanders, B. C. 2016; 18

  View details for DOI 10.1088/1367-2630/18/8/083043

  View details for Web of Science ID 000384012800002

• Summoning information in spacetime, or where and when can a qubit be? JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Hayden, P., May, A. 2016; 49 (17)

  View details for DOI 10.1088/1751-8113/49/17/175304

  View details for Web of Science ID 000372912400019

• Bidirectional holographic codes and sub-AdS locality JOURNAL OF HIGH ENERGY PHYSICS Yang, Z., Hayden, P., Qi, X. 2016

  View details for DOI 10.1007/JHEP01(2016)175

  View details for Web of Science ID 000375262800003

• Universal quantum computation by scattering in the Fermi-Hubbard model NEW JOURNAL OF PHYSICS Bao, N., Hayden, P., Salton, G., Thomas, N. 2015; 17

  View details for DOI 10.1088/1367-2630/17/9/093028

  View details for Web of Science ID 000367362500001

• The information theoretic interpretation of the length of a curve JOURNAL OF HIGH ENERGY PHYSICS Czech, B., Hayden, P., Lashkari, N., Swingle, B. 2015

  View details for DOI 10.1007/JHEP06(2015)157

  View details for Web of Science ID 000356955600001

• Multiboundary wormholes and holographic entanglement CLASSICAL AND QUANTUM GRAVITY Balasubramanian, V., Hayden, P., Maloney, A., Marolf, D., Ross, S. F. 2014; 31 (18)

  View details for DOI 10.1088/0264-9381/31/18/185015

  View details for Web of Science ID 000341484200016

• TWO-MESSAGE QUANTUM INTERACTIVE PROOFS AND THE QUANTUM SEPARABILITY PROBLEM QUANTUM INFORMATION & COMPUTATION Hayden, P., Milner, K., Wilde, M. M. 2014; 14 (5-6): 384-416

  View details for Web of Science ID 000333068300002

• Quantum Enigma Machines and the Locking Capacity of a Quantum Channel PHYSICAL REVIEW X Guha, S., Hayden, P., Krovi, H., Lloyd, S., Lupo, C., Shapiro, J. H., Takeoka, M., Wilde, M. M. 2014; 4 (1)

  View details for DOI 10.1103/PhysRevX.4.011016

  View details for Web of Science ID 000332155500002

• The locking-decoding frontier for generic dynamics PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Dupuis, F., Florjanczyk, J., Hayden, P., Leung, D. 2013; 469 (2159)

  View details for DOI 10.1098/rspa.2013.0289

  View details for Web of Science ID 000330318600006

• From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking JOURNAL OF THE ACM Fawzi, O., Hayden, P., Sen, P. 2013; 60 (6)

  View details for DOI 10.1145/2518131

  View details for Web of Science ID 000329122700005

• Towards the fast scrambling conjecture JOURNAL OF HIGH ENERGY PHYSICS Lashkari, N., Stanford, D., Hastings, M., Osborne, T., Hayden, P. 2013

  View details for DOI 10.1007/JHEP04(2013)022

  View details for Web of Science ID 000321208400022

• Holographic mutual information is monogamous PHYSICAL REVIEW D Hayden, P., Headrick, M., Maloney, A. 2013; 87 (4)

  View details for DOI 10.1103/PhysRevD.87.046003

  View details for Web of Science ID 000314686200006

• Two-message quantum interactive proofs and the quantum separability problem 28th Annual IEEE Conference on Computational Complexity (CCC) Hayden, P., Milner, K., Wilde, M. M. 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 Harlow, D., Hayden, P. 2013; 85
• Quantum trade-off coding for bosonic communication PHYSICAL REVIEW A Wilde, M. M., Hayden, P., Guha, S. 2012; 86 (6)

  View details for DOI 10.1103/PhysRevA.86.062306

  View details for Web of Science ID 000312021800003

• The information-theoretic costs of simulating quantum measurements JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Wilde, M. M., Hayden, P., Buscemi, F., Hsieh, M. 2012; 45 (45)

  View details for DOI 10.1088/1751-8113/45/45/453001

  View details for Web of Science ID 000310466800002

• Weak Decoupling Duality and Quantum Identification IEEE TRANSACTIONS ON INFORMATION THEORY Hayden, P., Winter, A. 2012; 58 (7): 4914-4929

  View details for DOI 10.1109/TIT.2012.2191695

  View details for Web of Science ID 000305575000054

• Classical Communication Over a Quantum Interference Channel IEEE TRANSACTIONS ON INFORMATION THEORY Fawzi, O., Hayden, P., Savov, I., Sen, P., Wilde, M. M. 2012; 58 (6): 3670-3691

  View details for DOI 10.1109/TIT.2012.2188620

  View details for Web of Science ID 000304245100025

• Quantum Communication in Rindler Spacetime COMMUNICATIONS IN MATHEMATICAL PHYSICS Bradler, K., Hayden, P., Panangaden, P. 2012; 312 (2): 361-398

  View details for DOI 10.1007/s00220-012-1476-1

  View details for Web of Science ID 000304117200003

• Information Trade-Offs for Optical Quantum Communication PHYSICAL REVIEW LETTERS Wilde, M. M., Hayden, P., Guha, S. 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

• Orbits of the Centralizer of a Linear Operator JOURNAL OF LIE THEORY Best, P., Gualtieri, M., Hayden, P. 2012; 22 (4): 1039-1048

  View details for Web of Science ID 000314004100005

• Quantum Broadcast Channels IEEE TRANSACTIONS ON INFORMATION THEORY Yard, J., Hayden, P., Devetak, I. 2011; 57 (10): 7147-7162

  View details for DOI 10.1109/TIT.2011.2165811

  View details for Web of Science ID 000295739000057

• QUANTUM INFORMATION Entanglement as elbow grease NATURE Hayden, P. 2011; 474 (7349): 41-43

  View details for Web of Science ID 000291156700029

  View details for PubMedID 21637248

• ASSISTED ENTANGLEMENT DISTILLATION QUANTUM INFORMATION & COMPUTATION Dutil, N., Hayden, P. 2011; 11 (5-6): 496-520

  View details for Web of Science ID 000292172500010

• From Low-Distortion Norm Embeddings to Explicit Uncertainty Relations and Efficient Information Locking 43rd ACM Symposium on Theory of Computing Fawzi, O., Hayden, P., Sen, P. 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 Fawzi, O., Hayden, P., Savov, I., Sen, P., Wilde, M. 2011: 609–616
• Leggett-Garg inequalities and the geometry of the cut polytope PHYSICAL REVIEW A Avis, D., Hayden, P., Wilde, M. M. 2010; 82 (3)

  View details for DOI 10.1103/PhysRevA.82.030102

  View details for Web of Science ID 000282095600001

• Conjugate degradability and the quantum capacity of cloning channels JOURNAL OF MATHEMATICAL PHYSICS Bradler, K., Dutil, N., Hayden, P., Muhammad, A. 2010; 51 (7)

  View details for DOI 10.1063/1.3449555

  View details for Web of Science ID 000280854500009

• Trade-off capacities of the quantum Hadamard channels PHYSICAL REVIEW A Bradler, K., Hayden, P., Touchette, D., Wilde, M. M. 2010; 81 (6)

  View details for DOI 10.1103/PhysRevA.81.062312

  View details for Web of Science ID 000278719300001

• A Father Protocol for Quantum Broadcast Channels IEEE TRANSACTIONS ON INFORMATION THEORY Dupuis, F., Hayden, P., Li, K. 2010; 56 (6): 2946-2956

  View details for DOI 10.1109/TIT.2010.2046217

  View details for Web of Science ID 000277880200035

• Concentration of Measure Effects in Quantum Information American-Mathematical-Society Short Course on Quantum Information Science/Annual Meeting of the American-Mathematical-Society Hayden, P. AMER MATHEMATICAL SOC. 2010: 3–12

  View details for Web of Science ID 000289580300001

• The mother of all protocols: restructuring quantum information's family tree PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Abeyesinghe, A., Devetak, I., Hayden, P., Winter, A. 2009; 465 (2108): 2537-2563

  View details for DOI 10.1098/rspa.2009.0202

  View details for Web of Science ID 000268021300014

• Private information via the Unruh effect JOURNAL OF HIGH ENERGY PHYSICS Bradler, K., Hayden, P., Panangaden, P. 2009

  View details for DOI 10.1088/1126-6708/2009/08/074

  View details for Web of Science ID 000270220000074

• Counterexamples to the Maximal p-Norm Multiplicativity Conjecture for all p > 1 COMMUNICATIONS IN MATHEMATICAL PHYSICS Hayden, P., Winter, A. 2008; 284 (1): 263-280

  View details for DOI 10.1007/s00220-008-0624-0

  View details for Web of Science ID 000260059500009

• Contrasting Behavior of the 5/2 and 7/3 Fractional Quantum Hall Effect in a Tilted Field PHYSICAL REVIEW LETTERS Dean, C. R., Piot, B. A., Hayden, P., Sarma, S. D., Gervais, G., Pfeiffer, L. N., West, K. W. 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

• Possibility, impossibility, and cheat sensitivity of quantum-bit string commitment PHYSICAL REVIEW A Buhrman, H., Christandl, M., Hayden, P., Lo, H., Wehner, S. 2008; 78 (2)

  View details for DOI 10.1103/PhysRevA.78.022316

  View details for Web of Science ID 000259263400052

• Capacity theorems for quantum multiple-access channels: Classical-quantum and quantum-quantum capacity regions IEEE TRANSACTIONS ON INFORMATION THEORY Yard, J., Hayden, P., Devetak, I. 2008; 54 (7): 3091-3113

  View details for DOI 10.1109/TIT.2008.924665

  View details for Web of Science ID 000257111500017

• Intrinsic gap of the nu=5/2 fractional quantum Hall state PHYSICAL REVIEW LETTERS Dean, C. R., Piot, B. A., Hayden, P., Das Sarma, S., Gervais, G., Pfeiffer, L. N., West, K. W. 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

• Distributed compression and multiparty squashed entanglement JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Avis, D., Hayden, P., Savov, I. 2008; 41 (11)

  View details for DOI 10.1088/1751-8113/41/11/115301

  View details for Web of Science ID 000254152700008

• A Decoupling Approach to the Quantum Capacity OPEN SYSTEMS & INFORMATION DYNAMICS Hayden, P., Horodecki, M., Winter, A., Yard, J. 2008; 15 (1): 7-19

  View details for Web of Science ID 000262138200002

• Random Quantum Codes from Gaussian Ensembles and an Uncertainty Relation OPEN SYSTEMS & INFORMATION DYNAMICS Hayden, P., Shor, P. W., Winter, A. 2008; 15 (1): 71-89

  View details for Web of Science ID 000262138200005

• Multiparty distributed compression of quantum information 2nd International Conference on Quantum, Nano and Micro Technologies Avis, D., Hayden, P., Savov, I. IEEE COMPUTER SOC. 2008: 90–97

  View details for Web of Science ID 000267131300016

• Black holes as mirrors: quantum information in random subsystems JOURNAL OF HIGH ENERGY PHYSICS Hayden, P., Preskill, J. 2007

  View details for Web of Science ID 000249788800009

• Security of quantum bit string commitment depends on the information measure PHYSICAL REVIEW LETTERS Buhrman, H., Christandl, M., Hayden, P., Lo, H., Wehner, S. 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

• On the distributed compression of quantum information IEEE TRANSACTIONS ON INFORMATION THEORY Ahn, C., Doherty, A. C., Hayden, P., Winter, A. J. 2006; 52 (10): 4349-4357

  View details for DOI 10.1109/TIT.2006.881734

  View details for Web of Science ID 000240776500001

• Optimal superdense coding of entangled states IEEE TRANSACTIONS ON INFORMATION THEORY Abeyesinghe, A., Hayden, P., Smith, G., Winter, A. J. 2006; 52 (8): 3635-3641

  View details for DOI 10.1109/TIT.2006.878174

  View details for Web of Science ID 000239408700015

• Aspects of generic entanglement COMMUNICATIONS IN MATHEMATICAL PHYSICS Hayden, P., Leung, D. W., Winter, A. 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 Hayden, P. edited by Francoise, J. P., Naber, G. L., Tsou, S. T. Elsevier. 2006: 418–424
• Random subspaces for encryption based on a private shared Cartesian frame PHYSICAL REVIEW A Bartlett, S. D., Hayden, P., Spekkens, R. W. 2005; 72 (5)

  View details for DOI 10.1103/PhysRevA.72.052329

  View details for Web of Science ID 000233603400068

• Quantum information - Putting certainty in the bank NATURE Hayden, P. 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

• Multiparty data hiding of quantum information PHYSICAL REVIEW A Hayden, P., Leung, D., Smith, G. 2005; 71 (6)

  View details for DOI 10.1103/PhysRevA.71.062339

  View details for Web of Science ID 000230275200071

• Correcting quantum channels by measuring the environment QUANTUM INFORMATION & COMPUTATION Hayden, P., King, C. 2005; 5 (2): 156-160

  View details for Web of Science ID 000228023400006

• Capacity theorems for quantum multiple access channels IEEE International Symposium on Information Theory and Its Applications Yard, J., Devetak, I., Hayden, P. IEEE. 2005: 884–888

  View details for Web of Science ID 000234713800185

• Remote preparation of quantum states IEEE TRANSACTIONS ON INFORMATION THEORY Bennett, C. H., Hayden, P., Leung, D. W., Shor, P. W., Winter, A. 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 Yard, J., Hayden, P., Savov, I. 2005
• Sending classical and quantum information over quantum multiple access channels Proceedings of the ninth Canadian Workshop on Information Theory Yard, J., Devetak, I., Hayden, P. 2005: 387–390
• Quantum state transformations and the Schubert calculus ANNALS OF PHYSICS Daftuar, S., Hayden, P. 2005; 315 (1): 80-122

  View details for DOI 10.1016/j.aop.2004.09.012

  View details for Web of Science ID 000226780300004

• Randomizing quantum states: Constructions and applications COMMUNICATIONS IN MATHEMATICAL PHYSICS Hayden, P., Leung, D., Shor, P. W., Winter, A. 2004; 250 (2): 371-391

  View details for Web of Science ID 000224481000007

• Superdense coding of quantum states PHYSICAL REVIEW LETTERS Harrow, A., Hayden, P., Leung, D. 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

• Structure of states which satisfy strong subadditivity of quantum entropy with equality COMMUNICATIONS IN MATHEMATICAL PHYSICS Hayden, P., Jozsa, R., Petz, D., Winter, A. 2004; 246 (2): 359-374

  View details for DOI 10.1007/s00220-004-1049-z

  View details for Web of Science ID 000220563600007

• Entanglement in random subspaces 7th International Conference on Quantum Communication, Measurement and Computing Hayden, P. 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 Hayden, P., Jozsa, R., Petz, D., Winter, A. 2004; 246 (2): 359-374
• Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication PHYSICAL REVIEW A Abeyesinghe, A., Hayden, P. 2003; 68 (6)

  View details for DOI 10.1103/PhysRevA.68.062319

  View details for Web of Science ID 000187885000037

• Hiding quantum data FOUNDATIONS OF PHYSICS DiVincenzo, D. P., Hayden, P., Terhal, B. M. 2003; 33 (11): 1629-1647

  View details for Web of Science ID 000185826600004

• Universal entanglement transformations without communication PHYSICAL REVIEW A van Dam, W., Hayden, P. 2003; 67 (6)

  View details for DOI 10.1103/PhysRevA.67.060302

  View details for Web of Science ID 000183915200004

• Communication cost of entanglement transformations PHYSICAL REVIEW A Hayden, P., Winter, A. 2003; 67 (1)

  View details for DOI 10.1103/PhysRevA.67.012326

  View details for Web of Science ID 000180804600052

• Trading quantum for classical resources in quantum data compression JOURNAL OF MATHEMATICAL PHYSICS Hayden, P., Jozsa, R., Winter, A. 2002; 43 (9): 4404-4444

  View details for DOI 10.1063/1.1497184

  View details for Web of Science ID 000177556600017

• The asymptotic entanglement cost of preparing a quantum state JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL Hayden, P. M., Horodecki, M., Terhal, B. M. 2001; 34 (35): 6891-6898

  View details for Web of Science ID 000171540700015

• Multiplayer quantum games PHYSICAL REVIEW A Benjamin, S. C., Hayden, P. M. 2001; 64 (3)

  View details for Web of Science ID 000170978600001

• What is quantum computation? International Conference on Fundamental Sciences, Mathematics and Theoretical Physics Ekert, A., Hayden, P., Inamori, H., Oi, D. K. WORLD SCIENTIFIC PUBL CO PTE LTD. 2001: 3335–63

  View details for Web of Science ID 000170680900001

• On the reversible extraction of classical information from a quantum source PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Barnum, H., Hayden, P., Jozsa, R., Winter, A. 2001; 457 (2012): 2019-2039

  View details for Web of Science ID 000170428100013

• Comment on "Quantum games and quantum strategies" PHYSICAL REVIEW LETTERS Benjamin, S. C., Hayden, P. M. 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 Ekert, A., Hayden, P., Inamori, H., Oi, D. 2001; 16 (20): 3335-3363
• Basic concepts in quantum computation Les Houches Session LXXII on Coherent Atomic Matter Waves Ekert, A., Hayden, P. M., Inamori, H. SPRINGER-VERLAG BERLIN. 2001: 663–701

  View details for Web of Science ID 000170830900010

• Geometric quantum computation 7th Meeting on Laser Phenomena Ekert, A., Ericsson, M., Hayden, P., Inamori, H., Jones, J. A., Oi, D. K., Vedral, V. TAYLOR & FRANCIS LTD. 2000: 2501–13

  View details for Web of Science ID 000165626900003

• Information flow in entangled quantum systems PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Deutsch, D., Hayden, P. 2000; 456 (1999): 1759-1774

  View details for Web of Science ID 000088071500011

• What is quantum computation? International Conference on Fundamental Sciences: Mathematics and Theoretical Physics Ekert, A., Hayden, P., Inamori, H., Oi, D. K. WORLD SCIENTIFIC PUBL CO PTE LTD. 2000: 351–383

  View details for Web of Science ID 000172812900016