Scalable characterization of localizable entanglement in noisy topological quantum codes
暂无分享,去创建一个
Amit Kumar Pal | Markus Muller | David Amaro | A. Pal | M. Muller | David Amaro | D. Amaro
[1] Gabriele De Chiara,et al. Genuine quantum correlations in quantum many-body systems: a review of recent progress , 2017, Reports on progress in physics. Physical Society.
[2] Roberto Ramos,et al. Entangled Macroscopic Quantum States in Two Superconducting Qubits , 2003, Science.
[3] Immanuel Bloch,et al. Exploring quantum matter with ultracold atoms in optical lattices , 2005 .
[4] Vlatko Vedral,et al. Statistical mechanics of the Cluster-Ising model , 2011, 1105.0853.
[5] J. I. Cirac,et al. Entanglement flow in multipartite systems , 2005 .
[6] H. Bombin,et al. Topological computation without braiding. , 2007, Physical review letters.
[7] H. Briegel,et al. Measurement-based quantum computation , 2009, 0910.1116.
[8] C. Castelnovo,et al. Entanglement and topological entropy of the toric code at finite temperature , 2007, 0704.3616.
[9] H. Weinfurter,et al. Experimental quantum teleportation , 1997, Nature.
[10] A. Holevo,et al. Quantum channels and their entropic characteristics , 2012, Reports on progress in physics. Physical Society.
[11] R. Blatt,et al. Quantum computations on a topologically encoded qubit , 2014, Science.
[12] S. Simon,et al. Non-Abelian Anyons and Topological Quantum Computation , 2007, 0707.1889.
[13] Hans Peter Buchler,et al. Minimal instances for toric code ground states , 2012, 1206.6994.
[14] G. Tóth,et al. Entanglement detection in the stabilizer formalism , 2005, quant-ph/0501020.
[15] J. D. Wong-Campos,et al. Benchmarking an 11-qubit quantum computer , 2019, Nature Communications.
[16] P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .
[17] David P. DiVincenzo,et al. Quantum information and computation , 2000, Nature.
[18] G. Tóth,et al. Entanglement detection , 2008, 0811.2803.
[19] Alexei Kitaev,et al. Anyons in an exactly solved model and beyond , 2005, cond-mat/0506438.
[20] A. Lvovsky,et al. Continuous-variable optical quantum-state tomography , 2009 .
[21] O. Gühne,et al. Estimating entanglement measures in experiments. , 2006, Physical review letters.
[22] M. Kargarian,et al. Entanglement properties of topological color codes , 2008, 0809.4276.
[23] J I Cirac,et al. Entanglement versus correlations in spin systems. , 2004, Physical review letters.
[24] Stein Olav Skrovseth,et al. Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields , 2009, 0905.1480.
[25] J. Raimond,et al. Manipulating quantum entanglement with atoms and photons in a cavity , 2001 .
[26] R. Barends,et al. Superconducting quantum circuits at the surface code threshold for fault tolerance , 2014, Nature.
[27] Miguel Angel Martin-Delgado,et al. Twins Percolation for Qubit Losses in Topological Color Codes. , 2018, Physical review letters.
[28] J. Gambetta,et al. Universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits. , 2012, Physical review letters.
[29] John M. Martinis,et al. State preservation by repetitive error detection in a superconducting quantum circuit , 2015, Nature.
[30] Kai Phillip Schmidt,et al. Robustness of a perturbed topological phase. , 2010, Physical review letters.
[31] Travis Norsen,et al. Bell's theorem , 2011, Scholarpedia.
[32] M Paternostro,et al. Experimental realization of Dicke states of up to six qubits for multiparty quantum networking. , 2009, Physical review letters.
[33] J. Cirac,et al. Entanglement percolation in quantum networks , 2006, quant-ph/0612167.
[34] T. Hänsch,et al. Controlled collisions for multi-particle entanglement of optically trapped atoms , 2003, Nature.
[35] Amit Kumar Pal,et al. Estimating localizable entanglement from witnesses , 2018, New Journal of Physics.
[36] Christian Kurtsiefer,et al. Experimental detection of multipartite entanglement using witness operators. , 2004, Physical review letters.
[37] J. Clarke,et al. Superconducting quantum bits , 2008, Nature.
[38] Caroline Figgatt,et al. Fault-tolerant quantum error detection , 2016, Science Advances.
[39] R Raussendorf,et al. A one-way quantum computer. , 2001, Physical review letters.
[40] Timothy F. Havel,et al. Benchmarking quantum control methods on a 12-qubit system. , 2006, Physical review letters.
[41] Peter Zoller,et al. Probing Rényi entanglement entropy via randomized measurements , 2018, Science.
[42] C. Monroe,et al. Quantum dynamics of single trapped ions , 2003 .
[43] Jiannis K. Pachos,et al. A Short Introduction to Topological Quantum Computation , 2017, 1705.04103.
[44] Samuel G. Rodriques,et al. Multipartite quantum entanglement evolution in photosynthetic complexes. , 2012, The Journal of chemical physics.
[45] J. Preskill,et al. Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence , 2015, 1503.06237.
[46] Alioscia Hamma,et al. Phase diagram and quench dynamics of the cluster-XY spin chain. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[47] M. Nielsen,et al. Entanglement in a simple quantum phase transition , 2002, quant-ph/0202162.
[48] Ujjwal Sen,et al. Multipartite entanglement accumulation in quantum states: Localizable generalized geometric measure , 2015, 1511.03998.
[49] M. Lewenstein,et al. Quantum Entanglement , 2020, Quantum Mechanics.
[50] Keisuke Fujii,et al. Quantum Computation with Topological Codes , 2015 .
[51] D. DiVincenzo,et al. The Physical Implementation of Quantum Computation , 2000, quant-ph/0002077.
[52] M. Markham,et al. Heralded entanglement between solid-state qubits separated by three metres , 2012, Nature.
[53] M. Popp,et al. Localizable Entanglement , 2004 .
[54] Ekert,et al. Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.
[55] Samuel J. Lomonaco,et al. Quantum information science and its contributions to mathematics : American Mathematical Society Short Course, January 3-4, 2009, Washington, DC , 2010 .
[56] A. Osterloh,et al. Scaling of entanglement close to a quantum phase transition , 2002, Nature.
[57] I. Chuang,et al. Quantum Computation and Quantum Information: Bibliography , 2010 .
[58] Jiannis K. Pachos,et al. Focus on topological quantum computation , 2014, 1406.2887.
[59] Juan Jose Garcia-Ripoll,et al. Mapping the spatial distribution of entanglement in optical lattices , 2010, 1007.0985.
[60] John Preskill,et al. Topological entanglement entropy. , 2005, Physical Review Letters.
[61] Xiao-Gang Wen,et al. Detecting topological order in a ground state wave function. , 2005, Physical review letters.
[62] M. Lewenstein,et al. Detection of entanglement with few local measurements , 2002, quant-ph/0205089.
[63] R. Blatt,et al. Towards fault-tolerant quantum computing with trapped ions , 2008, 0803.2798.
[64] Mohammad Hossein Zarei,et al. Robustness of topological quantum codes: Ising perturbation , 2015, 1501.07619.
[65] Claudio Castelnovo,et al. Topological order in a three-dimensional toric code at finite temperature , 2008, 0804.3591.
[66] C. Monroe,et al. Co-designing a scalable quantum computer with trapped atomic ions , 2016, npj Quantum Information.
[67] W. Marsden. I and J , 2012 .
[68] R. F. Werner,et al. Lower bounds on entanglement measures from incomplete information , 2008, 0802.1734.
[69] L. Jiang,et al. Quantum entanglement between an optical photon and a solid-state spin qubit , 2010, Nature.
[70] Helmut G Katzgraber,et al. Error threshold for color codes and random three-body Ising models. , 2009, Physical review letters.
[71] Xi Dong,et al. Bulk locality and quantum error correction in AdS/CFT , 2014, 1411.7041.
[72] Michele Mosca,et al. Quantum circuit optimizations for NISQ architectures , 2019, Quantum Science and Technology.
[73] A. Kitaev. Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.
[74] Tsuyoshi Murata,et al. {m , 1934, ACML.
[75] Frank Pollmann,et al. Entanglement spectrum of a topological phase in one dimension , 2009, 0910.1811.
[76] Amit Jamadagni,et al. Robustness of topological order in the toric code with open boundaries , 2018, Physical Review B.
[77] Markus Aspelmeyer,et al. Optomechanical Bell Test. , 2018, Physical review letters.
[78] Pérès. Separability Criterion for Density Matrices. , 1996, Physical review letters.
[79] J. Eisert,et al. Holography and criticality in matchgate tensor networks , 2017, Science Advances.
[80] E. Polzik,et al. Spin squeezed atoms: a macroscopic entangled ensemble created by light , 1999 .
[81] Ericka Stricklin-Parker,et al. Ann , 2005 .
[82] J I Cirac,et al. Diverging entanglement length in gapped quantum spin systems. , 2004, Physical review letters.
[83] B. Lanyon,et al. Observation of entangled states of a fully-controlled 20 qubit system , 2017, 1711.11092.
[84] Charles H. Bennett,et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.
[85] R. B. Blakestad,et al. Creation of a six-atom ‘Schrödinger cat’ state , 2005, Nature.
[86] A. Doherty,et al. Thresholds for topological codes in the presence of loss. , 2009, Physical review letters.
[87] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[88] V. Vedral,et al. Entanglement in many-body systems , 2007, quant-ph/0703044.
[89] Stefanie Barz,et al. Quantum computing with photons: introduction to the circuit model, the one-way quantum computer, and the fundamental principles of photonic experiments , 2015 .
[90] John Preskill,et al. Quantum Computing in the NISQ era and beyond , 2018, Quantum.
[91] David P. DiVincenzo,et al. Entanglement of Assistance , 1998, QCQC.
[92] Gian Giacomo Guerreschi,et al. Quantum control and entanglement in a chemical compass. , 2009, Physical review letters.
[93] Norbert M. Linke,et al. Measuring the Rényi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer , 2017, Physical Review A.
[94] Vladimir E. Korepin,et al. Localizable entanglement in antiferromagnetic spin chains , 2003 .
[95] Barbara M. Terhal. Detecting quantum entanglement , 2002, Theor. Comput. Sci..
[96] Weinfurter,et al. Quantum cryptography with entangled photons , 1999, Physical review letters.
[97] T. M. Stace,et al. Error Correction and Degeneracy in Surface Codes Suffering Loss , 2009, 0912.1159.
[98] Weinfurter,et al. Dense coding in experimental quantum communication. , 1996, Physical review letters.
[99] David Amaro,et al. Design and experimental performance of local entanglement witness operators , 2020 .
[100] John M. Martinis,et al. Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing , 2014 .
[101] H. Bombin,et al. Topological quantum distillation. , 2006, Physical review letters.
[102] Jay M. Gambetta,et al. Building logical qubits in a superconducting quantum computing system , 2015, 1510.04375.
[103] H. Briegel,et al. Measurement-based quantum computation on cluster states , 2003, quant-ph/0301052.
[104] Leon Balents,et al. Identifying topological order by entanglement entropy , 2012, Nature Physics.
[105] K. B. Whaley,et al. Quantum entanglement in photosynthetic light-harvesting complexes , 2009, 0905.3787.
[106] A. Ibort,et al. An introduction to the tomographic picture of quantum mechanics , 2009, 0904.4439.
[107] J. Dalibard,et al. Many-Body Physics with Ultracold Gases , 2007, 0704.3011.
[108] Jens Eisert,et al. Quantitative entanglement witnesses , 2006, quant-ph/0607167.
[109] F. Brandão,et al. Witnessed Entanglement , 2004, quant-ph/0405096.
[110] M. Horodecki,et al. Separability of mixed states: necessary and sufficient conditions , 1996, quant-ph/9605038.
[111] Albert T. Schmitz,et al. Entanglement spectra of stabilizer codes: A window into gapped quantum phases of matter , 2019, Physical Review B.
[112] Kai Phillip Schmidt,et al. Robustness of a topological phase: Topological color code in a parallel magnetic field , 2012, 1211.1687.
[113] Xiao-Gang Wen,et al. Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order , 2010, 1004.3835.
[114] V. Hubeny,et al. The AdS/CFT correspondence , 2014, 1501.00007.
[115] Charles H. Bennett,et al. Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.
[116] F. Brandão. Quantifying entanglement with witness operators , 2005, quant-ph/0503152.
[117] J. Preskill,et al. Topological quantum memory , 2001, quant-ph/0110143.
[118] Wayne C. Myrvold,et al. Bell’s Theorem , 2011 .
[119] Bart De Moor,et al. Graphical description of the action of local Clifford transformations on graph states , 2003, quant-ph/0308151.