Geometric phases in quantum information
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[1] Gabriele De Chiara,et al. Berry phase for a spin 1/2 particle in a classical fluctuating field. , 2003, Physical review letters.
[2] Ognyan Oreshkov. Holonomic quantum computation in subsystems. , 2009, Physical review letters.
[3] H. C. Longuet-Higgins,et al. Studies of the Jahn-Teller effect .II. The dynamical problem , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[4] Vlatko Vedral,et al. Anandan et al. Reply , 2002 .
[5] S. Berger,et al. Experimental realization of non-Abelian non-adiabatic geometric gates , 2013, Nature.
[6] Tomita,et al. Observation of Berry's topological phase by use of an optical fiber. , 1986, Physical review letters.
[7] E. Sjoqvist,et al. Hidden parameters in open-system evolution unveiled by geometric phase , 2010, 1005.2992.
[8] C. Souza,et al. Topological phase structure of vector vortex beams. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.
[9] S. Berger,et al. Exploring the effect of noise on the Berry phase , 2013, 1302.3305.
[10] A. Pati,et al. Geometric aspects of noncyclic quantum evolutions. , 1995, Physical review. A, Atomic, molecular, and optical physics.
[11] Klaas Bergmann,et al. LASER-DRIVEN POPULATION TRANSFER IN FOUR-LEVEL ATOMS : CONSEQUENCES OF NON-ABELIAN GEOMETRICAL ADIABATIC PHASE FACTORS , 1999 .
[12] Fausto Rossi,et al. Semiconductor-based geometrical quantum gates , 2002, quant-ph/0207019.
[13] Vahid Azimi Mousolou,et al. Universal non-adiabatic holonomic gates in quantum dots and single-molecule magnets , 2012, 1209.3645.
[14] D. M. Tong,et al. Robustness of nonadiabatic holonomic gates , 2012, 1204.5144.
[15] Noncyclic geometric changes of quantum states , 2005, quant-ph/0512045.
[16] J. Pekola,et al. Non-Abelian geometric phases in ground-state Josephson devices , 2010, 1002.0957.
[17] K. Mølmer,et al. QUANTUM COMPUTATION WITH IONS IN THERMAL MOTION , 1998, quant-ph/9810039.
[18] E. Sjoqvist,et al. Noncyclic mixed state phase in SU(2) polarimetry , 2003, quant-ph/0305132.
[19] D. Suter,et al. Experimental observation of a topological phase in the maximally entangled state of a pair of qubits , 2007, 0705.3566.
[20] D. M. Tong,et al. Geometric phases for nondegenerate and degenerate mixed states , 2003, quant-ph/0304068.
[21] A. Khoury,et al. Non Abelian structures and the geometric phase of entangled qudits , 2014, 1406.4209.
[22] R. Laflamme,et al. Geometric phase with nonunitary evolution in the presence of a quantum critical bath. , 2010, Physical review letters.
[23] W. Wootters,et al. Distributed Entanglement , 1999, quant-ph/9907047.
[24] Topological phase for entangled two-qubit states and the representation of the SO(3)group , 2005, quant-ph/0511034.
[25] Steane,et al. Error Correcting Codes in Quantum Theory. , 1996, Physical review letters.
[26] R Raussendorf,et al. A one-way quantum computer. , 2001, Physical review letters.
[27] Charles H. Bennett,et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.
[28] D. Arovas,et al. Topological indices for open and thermal systems via Uhlmann's phase. , 2014, Physical review letters.
[29] S. Urabe,et al. Realization of holonomic single-qubit operations , 2013, 1304.6215.
[30] S. Pancharatnam,et al. Generalized theory of interference, and its applications , 1956 .
[31] A. Khoury,et al. Fractional topological phase for entangled qudits. , 2010, Physical review letters.
[32] Frank Wilczek,et al. Appearance of Gauge Structure in Simple Dynamical Systems , 1984 .
[33] Jeeva Anandan,et al. Non-adiabatic non-abelian geometric phase , 1988 .
[34] D. Leibfried,et al. Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate , 2003, Nature.
[35] Aharonov,et al. Phase change during a cyclic quantum evolution. , 1987, Physical review letters.
[36] A. Khoury,et al. Fractional topological phase on spatially encoded photonic qudits , 2013, 1301.5539.
[37] A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise , 2013, 1309.1534.
[38] Erik Sjöqvist,et al. A new phase in quantum computation , 2008 .
[39] P. Zanardi,et al. Quantum computation in noiseless subsystems with fast non-Abelian holonomies , 2013, 1308.1919.
[40] G. Castagnoli,et al. Geometric quantum computation with NMR , 1999, quant-ph/9910052.
[41] N. J. Cerf,et al. Multipartite nonlocality without entanglement in many dimensions , 2006 .
[42] Shor,et al. Scheme for reducing decoherence in quantum computer memory. , 1995, Physical review. A, Atomic, molecular, and optical physics.
[43] Á. Rivas,et al. Two-dimensional density-matrix topological fermionic phases: topological Uhlmann numbers. , 2014, Physical review letters.
[44] C. Mead. The molecular Aharonov—Bohm effect in bound states , 1980 .
[45] E. Sjöqvist. Geometric phase for entangled spin pairs , 2000 .
[46] E. Sjoqvist,et al. Validity of the rotating-wave approximation in nonadiabatic holonomic quantum computation , 2013, 1307.1536.
[47] M. Berry. Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[48] Samuel,et al. General setting for Berry's phase. , 1988, Physical review letters.
[49] J. Cirac,et al. Three qubits can be entangled in two inequivalent ways , 2000, quant-ph/0005115.
[50] F. Wilczek,et al. Geometry of self-propulsion at low Reynolds number , 1989, Journal of Fluid Mechanics.
[51] Mixed state geometric phases, entangled systems, and local unitary transformations. , 2002, Physical review letters.
[52] Barry Simon,et al. Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase , 1983 .
[53] Dieter Suter,et al. Berry's phase in magnetic resonance , 1987 .
[54] Geometric phases in open systems: A model to study how they are corrected by decoherence (5 pages) , 2006, quant-ph/0606036.
[55] P. Zanardi,et al. Noiseless Quantum Codes , 1997, quant-ph/9705044.
[56] Geometric phase in open systems. , 2003, Physical review letters.
[57] C. Zu,et al. Experimental realization of universal geometric quantum gates with solid-state spins , 2014, Nature.
[58] H. C. Longuet-Higgins. The intersection of potential energy surfaces in polyatomic molecules , 1975, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[59] J. C. Loredo,et al. Observation of entanglement-dependent two-particle holonomic phase. , 2013, Physical review letters.
[60] Jens Siewert,et al. Non-Abelian holonomies, charge pumping, and quantum computation with Josephson junctions. , 2003, Physical review letters.
[61] I Fuentes-Guridi,et al. Holonomic quantum computation in the presence of decoherence. , 2005, Physical review letters.
[62] Observation of geometric phases for mixed states using NMR interferometry. , 2003, Physical review letters.
[63] P Geltenbort,et al. Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle. , 2008, Physical review letters.
[64] P'erola Milman. Phase dynamics of entangled qubits , 2006 .
[65] Peter Hänggi,et al. Geometric phase as a determinant of a qubit– environment coupling , 2010, Quantum Inf. Process..
[66] Apoorva G. Wagh,et al. On measuring the Pancharatnam phase. I. Interferometry , 1995 .
[67] V Vedral,et al. Geometric phases for mixed states in interferometry. , 2000, Physical review letters.
[68] Noncyclic Pancharatnam phase for mixed state SU(2) evolution in neutron polarimetry , 2005, quant-ph/0505209.
[69] M. Nakahara,et al. Non-Adiabatic Universal Holonomic Quantum Gates Based on Abelian Holonomies , 2013, 1307.8001.
[70] A. Khoury,et al. Topological phase structure of entangled qudits , 2014, 1401.3536.
[71] Vlatko Vedral,et al. Composite geometric phase for multipartite entangled states , 2007, quant-ph/0702080.
[72] Daniel A Lidar,et al. Fault-tolerant holonomic quantum computation. , 2009, Physical review letters.
[73] D A Lidar,et al. Holonomic quantum computation in decoherence-free subspaces. , 2005, Physical review letters.
[74] On polynomial invariants of several qubits , 2008, 0804.1661.
[75] J. Luque,et al. Polynomial invariants of four qubits , 2002, quant-ph/0212069.
[76] P. Goldbart,et al. Geometric measure of entanglement and applications to bipartite and multipartite quantum states , 2003, quant-ph/0307219.
[77] A. Uhlmann. A gauge field governing parallel transport along mixed states , 1991 .
[78] Guilu Long,et al. Protecting geometric gates by dynamical decoupling , 2014 .
[79] Johan Åberg,et al. Adiabatic approximation for weakly open systems , 2005 .
[80] General setting for a geometric phase of mixed states under an arbitrary nonunitary evolution , 2005, quant-ph/0507280.
[81] R. Srikanth,et al. Geometric phase of a qubit interacting with a squeezed-thermal bath , 2006, quant-ph/0611161.
[82] P. Milman,et al. Topological phase for spin-orbit transformations on a laser beam , 2007, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.
[83] Abelian and non-Abelian geometric phases in adiabatic open quantum systems , 2005, quant-ph/0507012.
[84] Ekert,et al. Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.
[85] T. Bitter,et al. Manifestation of Berry's topological phase in neutron spin rotation. , 1987, Physical review letters.
[86] A. Harrow,et al. Practical scheme for quantum computation with any two-qubit entangling gate. , 2002, Physical Review Letters.
[87] John Calsamiglia,et al. Adiabatic markovian dynamics. , 2010, Physical review letters.
[88] Herbert Walther,et al. Quantum computation with trapped ions in an optical cavity. , 2002, Physical review letters.
[89] R. J. Schoelkopf,et al. Observation of Berry's Phase in a Solid-State Qubit , 2007, Science.
[90] G. Marmo,et al. Geometric phase for mixed states: a differential geometric approach , 2004 .
[91] E. Knill. Quantum computing with realistically noisy devices , 2005, Nature.
[92] E. Sjöqvist. On geometric phases for quantum trajectories , 2006 .
[93] Effect of noise on geometric logic gates for quantum computation , 2001, quant-ph/0105006.
[94] Geometrical phases for the G(4,2) Grassmannian manifold , 2003, quant-ph/0301140.
[95] Erik Sjöqvist,et al. Nonadiabatic holonomic quantum computation in decoherence-free subspaces. , 2012, Physical review letters.
[96] I. B. Spielman,et al. Synthetic magnetic fields for ultracold neutral atoms , 2009, Nature.
[97] W. Wootters. Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.
[98] B. Sanders,et al. Geometric phase distributions for open quantum systems. , 2004, Physical review letters.
[99] J. Renes,et al. Holonomic quantum computing in symmetry-protected ground states of spin chains , 2011, 1103.5076.
[100] Measurement of geometric phase for mixed states using single photon interferometry. , 2004, quant-ph/0412216.
[101] B. D'espagnat. Conceptual Foundations Of Quantum Mechanics , 1971 .
[102] Berry phase in entangled systems: a proposed experiment with single neutrons , 2003, quant-ph/0309089.
[103] Operational approach to the Uhlmann holonomy , 2006, quant-ph/0608185.
[104] V. C. Rakhecha,et al. On measuring the Pancharatnam phase. II. SU(2) polarimetry , 1995 .
[105] W. J. Munro,et al. Decoherence of geometric phase gates , 2002 .
[106] Paolo Zanardi,et al. QUANTUM HOLONOMIES FOR QUANTUM COMPUTING , 2000, quant-ph/0007110.
[107] A. Shimony. Degree of Entanglement a , 1995 .
[108] Daniel A. Lidar,et al. Decoherence-Free Subspaces for Quantum Computation , 1998, quant-ph/9807004.
[109] Vlatko Vedral. GEOMETRIC PHASES AND TOPOLOGICAL QUANTUM COMPUTATION , 2002 .
[110] Matthias Hübner,et al. Computation of Uhlmann's parallel transport for density matrices and the Bures metric on three-dimensional Hilbert space , 1993 .
[111] M. Plenio,et al. Quantifying Entanglement , 1997, quant-ph/9702027.
[112] R. Simon,et al. Quantum Kinematic Approach to the Geometric Phase. I. General Formalism , 1993 .
[113] Robustness of optimal working points for nonadiabatic holonomic quantum computation , 2006, quant-ph/0604180.
[114] A. Uhlmann. The "transition probability" in the state space of a ∗-algebra , 1976 .
[115] E. Sjöqvist. Entanglement-induced geometric phase of quantum states , 2010 .
[116] Shi-Liang Zhu,et al. Geometric quantum gates that are robust against stochastic control errors , 2005 .
[117] A. Khoury,et al. Three-qubit topological phase on entangled photon pairs , 2013, 1301.5538.
[118] Z. D. Wang,et al. Experimental implementation of high-fidelity unconventional geometric quantum gates using an NMR interferometer , 2006 .
[119] L. Kwek,et al. Geometric phase for entangled states of two spin-1/2 particles in rotating magnetic field , 2003 .
[120] Guilu Long,et al. Universal Nonadiabatic Geometric Gates in Two-Qubit Decoherence-Free Subspaces , 2014, Scientific reports.
[121] P. Lévay. The geometry of entanglement: metrics, connections and the geometric phase , 2003, quant-ph/0306115.
[122] E. Knill,et al. DYNAMICAL DECOUPLING OF OPEN QUANTUM SYSTEMS , 1998, quant-ph/9809071.
[123] E. Sjöqvist,et al. Correlation-induced non-Abelian quantum holonomies , 2010, 1011.5182.
[124] Armin Uhlmann,et al. Parallel transport and “quantum holonomy” along density operators , 1986 .
[125] Experimental demonstration of a unified framework for mixed-state geometric phases , 2011 .
[126] Robust gates for holonomic quantum computation , 2005, quant-ph/0510226.
[127] Exact solutions of holonomic quantum computation , 2003, quant-ph/0312079.
[128] L. C. Kwek,et al. Relation between geometric phases of entangled bipartite systems and their subsystems , 2003, quant-ph/0309130.
[129] Á. Rivas,et al. Uhlmann phase as a topological measure for one-dimensional fermion systems. , 2013, Physical review letters.
[130] Holonomic quantum computation with neutral atoms , 2002, quant-ph/0204030.
[131] M. C. Nemes,et al. Phases of quantum states in completely positive non-unitary evolution , 2003 .
[132] Paolo Zanardi,et al. Holonomic quantum computation , 1999 .
[133] Charles H. Bennett,et al. Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.
[134] Kang Xue,et al. Braiding transformation, entanglement swapping, and Berry phase in entanglement space , 2007, 0704.0709.
[135] R. Mosseri,et al. Geometry of entangled states, Bloch spheres and Hopf fibrations , 2001, quant-ph/0108137.
[136] Guilu Long,et al. Experimental realization of nonadiabatic holonomic quantum computation. , 2013, Physical review letters.
[137] Robustness against parametric noise of nonideal holonomic gates , 2006, quant-ph/0611079.
[138] W. Demtröder,et al. Unambiguous Proof for Berry's Phase in the Sodium Trimer: Analysis of the Transition A 2 E ′ ′ ← X 2 E ′ , 1998 .
[139] J I Cirac,et al. Geometric Manipulation of Trapped Ions for Quantum Computation , 2001, Science.
[140] Geometric manipulation of the quantum states of two-level atoms , 2004 .
[141] D. M. Tong,et al. Non-adiabatic holonomic quantum computation , 2011, 1107.5127.
[142] Mikio Nakahara,et al. Realization of arbitrary gates in holonomic quantum computation , 2003 .
[143] A symmetry approach to geometric phase for quantum ensembles , 2014, 1411.0635.
[144] A P Chikkatur,et al. Direct nondestructive imaging of magnetization in a spin-1 Bose-Einstein gas. , 2005, Physical review letters.
[145] S. Filipp,et al. Geometric phase in entangled systems: A single-neutron interferometer experiment , 2009, 0907.4909.
[146] Frank Wilczek,et al. Gauge kinematics of deformable bodies , 1989 .
[147] Paul B. Slater,et al. Mixed State Holonomies , 2001, math-ph/0111041.
[148] D. Bohm,et al. Significance of Electromagnetic Potentials in the Quantum Theory , 1959 .
[149] A. Sudbery,et al. Global asymmetry of many-qubit correlations: A lattice-gauge-theory approach , 2011, 1102.5609.
[150] C. H. Oh,et al. Kinematic approach to the mixed state geometric phase in nonunitary evolution. , 2004, Physical review letters.
[151] Rajendra Bhandari. Singularities of the mixed state phase. , 2002, Physical review letters.
[152] Shi-Liang Zhu,et al. Implementation of universal quantum gates based on nonadiabatic geometric phases. , 2002, Physical review letters.
[153] P. Kim,et al. Experimental observation of the quantum Hall effect and Berry's phase in graphene , 2005, Nature.
[154] E. Sjöqvist. Experimentally testable geometric phase of sequences of Everett's relative quantum states , 2009 .
[155] Shi-Liang Zhu,et al. Unconventional geometric quantum computation. , 2003, Physical Review Letters.
[156] W. LiMing,et al. Representation of the SO(3) group by a maximally entangled state (4 pages) , 2004 .
[157] Klaus Molmer,et al. Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems , 2007 .
[158] N. Buric,et al. Uniquely defined geometric phase of an open system , 2009 .
[159] Pérola Milman,et al. Topological phase for entangled two-qubit states. , 2003, Physical review letters.
[160] Arun K. Pati,et al. Generalization of the geometric phase to completely positive maps , 2003 .
[161] Parallel transport in an entangled ring , 2002, quant-ph/0202048.
[162] V. Malinovsky,et al. Adiabatic holonomic quantum gates for a single qubit , 2014 .
[163] Vlatko Vedral,et al. Geometric quantum computation , 2000, quant-ph/0004015.
[164] Experimental measurement of mixed state geometric phase by quantum interferometry using NMR , 2005, quant-ph/0509139.
[165] V. C. Rakhecha,et al. Neutron Interferometric Observation of Noncyclic Phase , 1998 .
[166] Geometric phase for open quantum systems and stochastic unravelings , 2005, quant-ph/0510184.
[167] Shi-Liang Zhu,et al. Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems , 2002, quant-ph/0210027.
[168] Viola,et al. Theory of quantum error correction for general noise , 2000, Physical review letters.
[169] H. C. Longuet-Higgins,et al. Intersection of potential energy surfaces in polyatomic molecules , 1963 .
[170] Jonathan A. Jones,et al. Geometric quantum computation using nuclear magnetic resonance , 2000, Nature.
[171] S. Filipp,et al. Observation of nonadditive mixed-state phases with polarized neutrons. , 2008, Physical review letters.
[172] Arun Kumar Pati,et al. Gauge-invariant reference section and geometric phase , 1995 .
[173] Daniel A. Lidar,et al. Scheme for fault-tolerant holonomic computation on stabilizer codes , 2009 .
[174] Stefan W. Hell,et al. Room temperature high-fidelity holonomic single-qubit gate on a solid-state spin , 2014, Nature Communications.
[175] L. C. Kwek,et al. Geometric phase in open systems: Beyond the Markov approximation and weak coupling limit , 2006 .
[176] G. Lindblad. On the generators of quantum dynamical semigroups , 1976 .
[177] Paolo Zanardi,et al. Non-Abelian Berry connections for quantum computation , 1999 .
[178] T. Brun,et al. Fault-tolerant holonomic quantum computation in surface codes , 2014, 1411.4248.
[179] A. Stone,et al. Spin-orbit coupling and the intersection of potential energy surfaces in polyatomic molecules , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.