Entanglement in General Multipartite Quantum Systems and Its Role in Quantum Information Processing Tasks

A major role playing by entanglement of quantum states in several, present day applications of genuine quantum technologies is briefly reviewed. Additionally, the notion and classification of multipartite entanglement has been presented. A new, monotone under (S)LOCC-operations measures of many-partite entanglement are defined and discussed briefly.

[1]  L. DiCarlo,et al.  Demonstration of two-qubit algorithms with a superconducting quantum processor , 2009, Nature.

[2]  Martin B. Plenio,et al.  An introduction to entanglement measures , 2005, Quantum Inf. Comput..

[3]  R. Werner.  All teleportation and dense coding schemes , 2000, quant-ph/0003070.

[4]  F. Martini,et al.  Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels , 1997, quant-ph/9710013.

[5]  F. Schmidt-Kaler,et al.  Deterministic quantum teleportation with atoms , 2004, Nature.

[6]  G. Jaeger,et al.  Entanglement, Information, and the Interpretation of Quantum Mechanics , 2010 .

[7]  Asher Peres.  What is actually teleported? , 2004, IBM J. Res. Dev..

[8]  M. Lewenstein,et al.  Quantum Entanglement , 2020, Quantum Mechanics.

[9]  Andreas J. Winter,et al.  Unconditional security of key distribution from causality constraints , 2006, ArXiv.

[10]  H. Weinfurter,et al.  Entanglement-based quantum communication over 144km , 2007 .

[11]  N. Gisin,et al.  From Bell's theorem to secure quantum key distribution. , 2005, Physical review letters.

[12]  R. Feynman.  Simulating physics with computers , 1999 .

[13]  E. Knill,et al.  Deterministic quantum teleportation of atomic qubits , 2004, Nature.

[14]  Jozef Gruska,et al.  Quantum Computing , 2008, Wiley Encyclopedia of Computer Science and Engineering.

[15]  N. Gisin,et al.  Long-distance teleportation of qubits at telecommunication wavelengths , 2003, Nature.

[16]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[17]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[18]  Gerard J. Milburn,et al.  Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski , 2006, Quantum Inf. Comput..

[19]  Charles H. Bennett,et al.  Quantum cryptography using any two nonorthogonal states. , 1992, Physical review letters.

[20]  ST. GEORGE MIVART,et al.  Ape Resemblances to Man , 1871, Nature.

[21]  D. Deutsch.  Quantum theory, the Church–Turing principle and the universal quantum computer , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[22]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[23]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[24]  Gilles Brassard,et al.  Secret-Key Reconciliation by Public Discussion , 1994, EUROCRYPT.

[25]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[26]  Lo,et al.  Unconditional security of quantum key distribution over arbitrarily long distances , 1999, Science.

[27]  Xiongfeng Ma,et al.  QUANTUM CRYPTOGRAPHY: FROM THEORY TO PRACTICE , 2007, quant-ph/0702202.

[28]  Marek Sawerwain,et al.  Natural Quantum Operational Semantics with Predicates , 2008, Int. J. Appl. Math. Comput. Sci..

[29]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[30]  Gilles Brassard,et al.  Quantum Cryptography , 2005, Encyclopedia of Cryptography and Security.

[31]  H. Weinfurter,et al.  Experimental Demonstration of Free-Space Decoy-State Quantum Key Distribution over 144 km , 2007, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[32]  C. G. Peterson,et al.  Long-distance quantum key distribution in optical fibre , 2006, quant-ph/0607177.

[33]  Leonid Gurvits.  Classical deterministic complexity of Edmonds' Problem and quantum entanglement , 2003, STOC '03.

[34]  Roman Gielerak Marek Sawerwain.  Twopartite, combinatorial approach to partial k-separability problem for general multipartite states , 2010, 1003.0103.

[35]  Tor Helleseth,et al.  Advances in Cryptology — EUROCRYPT ’93 , 2001, Lecture Notes in Computer Science.

[36]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[37]  Vaidman.  Teleportation of quantum states. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[38]  J. Dynes,et al.  Gigahertz decoy quantum key distribution with 1 Mbit/s secure key rate. , 2008, Optics express.