Quantum Information

This article reviews the extraordinary features of quantum information predicted by the quantum formalism, which, combined with the development of modern quantum technologies, have opened new horizons in quantum physics that can potentially affect various areas of our live, leading to new technologies such as quantum cybersecurity, quantum communication, quantum metrology, and quantum computation.

[1]  Alexander S. Holevo,et al.  The Capacity of the Quantum Channel with General Signal States , 1996, IEEE Trans. Inf. Theory.

[2]  P. Horodecki.  Separability criterion and inseparable mixed states with positive partial transposition , 1997, quant-ph/9703004.

[3]  Michael D. Westmoreland,et al.  Sending classical information via noisy quantum channels , 1997 .

[4]  D. Vernon.  Inform , 1995, Encyclopedia of the UN Sustainable Development Goals.

[5]  Wolfgang Dür,et al.  Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication , 1998 .

[6]  O. Astafiev,et al.  Demonstration of conditional gate operation using superconducting charge qubits , 2003, Nature.

[7]  S. Braunstein,et al.  Impossibility of deleting an unknown quantum state , 2000, Nature.

[8]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[9]  M. Handzic.  5 , 1824, The Banality of Heidegger.

[10]  Shih,et al.  New high-intensity source of polarization-entangled photon pairs. , 1995, Physical review letters.

[11]  A. Holevo.  Bounds for the quantity of information transmitted by a quantum communication channel , 1973 .

[12]  P. Horodecki,et al.  Quantum redundancies and local realism , 1994 .

[13]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[14]  Charles H. Bennett,et al.  Mixed-state entanglement and quantum error correction. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[15]  A. Cabello,et al.  Bell-Kochen-Specker theorem: A proof with 18 vectors , 1996, quant-ph/9706009.

[16]  J. Cirac,et al.  Improvement of frequency standards with quantum entanglement , 1997, quant-ph/9707014.

[17]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

[18]  장윤희,et al.  Y. , 2003, Industrial and Labor Relations Terms.

[19]  D. DiVincenzo,et al.  The Physical Implementation of Quantum Computation , 2000, quant-ph/0002077.

[20]  A. Jamiołkowski.  Linear transformations which preserve trace and positive semidefiniteness of operators , 1972 .

[21]  Seth Lloyd,et al.  Universal Quantum Simulators , 1996, Science.

[22]  J. Cirac,et al.  Characterization of separable states and entanglement witnesses , 2000, quant-ph/0005112.

[23]  P. Knight,et al.  Multiparticle generalization of entanglement swapping , 1998 .

[24]  E. Knill,et al.  A scheme for efficient quantum computation with linear optics , 2001, Nature.

[25]  Popescu,et al.  Jamming nonlocal quantum correlations. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[26]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[27]  D. Dieks.  Communication by EPR devices , 1982 .

[28]  L. B. Levitin.  On the quantum measure of information , 1996 .

[29]  A. Furusawa,et al.  Teleportation of continuous quantum variables , 1998, Technical Digest. Summaries of Papers Presented at the International Quantum Electronics Conference. Conference Edition. 1998 Technical Digest Series, Vol.7 (IEEE Cat. No.98CH36236).

[30]  M. Murao,et al.  Quantum telecloning and multiparticle entanglement , 1998, quant-ph/9806082.

[31]  I. Chuang,et al.  Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance , 2001, Nature.

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

[33]  M. Horodecki,et al.  Inseparable Two Spin- 1 2 Density Matrices Can Be Distilled to a Singlet Form , 1997 .

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

[35]  Dorit Aharonov,et al.  Fault-tolerant quantum computation with constant error , 1997, STOC '97.

[36]  M. Lewenstein,et al.  Volume of the set of separable states , 1998, quant-ph/9804024.

[37]  R. Schumann.  Quantum Information Theory , 2000, quant-ph/0010060.

[38]  Stephen Wiesner,et al.  Conjugate coding , 1983, SIGA.

[39]  W. Zurek.  Decoherence, einselection, and the quantum origins of the classical , 2001, quant-ph/0105127.

[40]  Buzek,et al.  Quantum copying: Beyond the no-cloning theorem. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[41]  B. S. Cirel'son.  Quantum generalizations of Bell's inequality , 1980 .

[42]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[43]  M. Horodecki,et al.  General teleportation channel, singlet fraction and quasi-distillation , 1998, quant-ph/9807091.

[44]  J. Cirac,et al.  Long-distance quantum communication with atomic ensembles and linear optics , 2001, Nature.

[45]  Deutsch,et al.  Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels. , 1996, Physical review letters.

[46]  M. Horodecki,et al.  Separability of mixed states: necessary and sufficient conditions , 1996, quant-ph/9605038.

[47]  M. Wolf,et al.  Quantum Entanglement: A Modern Perspective , 2003 .

[48]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

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

[50]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[51]  Isaac L. Chuang,et al.  Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations , 1999, Nature.

[52]  C. Adami,et al.  Negative entropy and information in quantum mechanics , 1995, quant-ph/9512022.

[53]  W. Wootters,et al.  Distributed Entanglement , 1999, quant-ph/9907047.

[54]  Ekert,et al.  "Event-ready-detectors" Bell experiment via entanglement swapping. , 1993, Physical review letters.

[55]  M. Barbieri,et al.  Detection of entanglement with polarized photons: experimental realization of an entanglement witness. , 2003, Physical review letters.

[56]  C. H. Bennett,et al.  Quantum nonlocality without entanglement , 1998, quant-ph/9804053.

[57]  R. Xu,et al.  Theory of open quantum systems , 2002 .

[58]  J. Cirac,et al.  Three qubits can be entangled in two inequivalent ways , 2000, quant-ph/0005115.

[59]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[60]  Shor,et al.  Scheme for reducing decoherence in quantum computer memory. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[61]  Schumacher,et al.  Quantum coding. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[62]  M. Horodecki,et al.  Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature? , 1998, quant-ph/9801069.

[63]  H. Weinfurter,et al.  Experimental Entanglement Swapping: Entangling Photons That Never Interacted , 1998 .

[64]  D. Deutsch,et al.  Rapid solution of problems by quantum computation , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[65]  J. VonNeumann.  Mathematische Grundlagen der Quantenmechanik , 1932 .

[66]  S. Woronowicz.  Nonextendible positive maps , 1976 .

[67]  S. Popescu,et al.  Quantum nonlocality as an axiom , 1994 .

[68]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

[69]  K. Życzkowski,et al.  Geometry of entangled states , 2000, quant-ph/0006068.

[70]  P. Horodecki.  Measuring quantum entanglement without prior state reconstruction. , 2001, Physical Review Letters.

[71]  Eugene P. Wigner,et al.  The Probability of the Existence of a Self-Reproducing Unit , 1997 .

[72]  Jack K. Wolf,et al.  Noiseless coding of correlated information sources , 1973, IEEE Trans. Inf. Theory.

[73]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[74]  C. Caves.  Quantum Mechanical Noise in an Interferometer , 1981 .

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

[76]  B. Terhal.  Bell inequalities and the separability criterion , 1999, quant-ph/9911057.

[77]  Weinfurter,et al.  Dense coding in experimental quantum communication. , 1996, Physical review letters.

[78]  Steane,et al.  Simple quantum error-correcting codes. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[79]  M. Horodecki,et al.  Dynamics of quantum entanglement , 2000, quant-ph/0008115.

[80]  B. Yurke,et al.  Einstein-Podolsky-Rosen effects from independent particle sources. , 1992, Physical review letters.

[81]  J. Raimond,et al.  Manipulating quantum entanglement with atoms and photons in a cavity , 2001 .

[82]  Aephraim M. Steinberg,et al.  Quantum non-locality in two-photon experiments at Berkeley , 1995 .

[83]  Pérès.  Separability Criterion for Density Matrices. , 1996, Physical review letters.

[84]  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.

[85]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

[86]  James L. Park.  The concept of transition in quantum mechanics , 1970 .

[87]  W. Heisenberg.  Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik , 1927 .

[88]  Peter W. Shor,et al.  Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..

[89]  J. Cirac,et al.  Optimization of entanglement witnesses , 2000, quant-ph/0005014.

[90]  Lov K. Grover.  Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.

[91]  Mermin,et al.  Simple unified form for the major no-hidden-variables theorems. , 1990, Physical review letters.

[92]  R. Ingarden,et al.  Information Dynamics and Open Systems: Classical and Quantum Approach , 1997 .

[93]  Mann,et al.  Maximal violation of Bell inequalities for mixed states. , 1992, Physical review letters.

[94]  Horodecki.  Information-theoretic aspects of inseparability of mixed states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[95]  E. Schrödinger.  Discussion of Probability Relations between Separated Systems , 1935, Mathematical Proceedings of the Cambridge Philosophical Society.

[96]  P. Horodecki,et al.  Method for direct detection of quantum entanglement. , 2001, Physical review letters.

[97]  Gilles Brassard,et al.  Experimental Quantum Cryptography , 1990, EUROCRYPT.

[98]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.

[99]  B. M. Fulk.  MATH , 1992 .

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

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

[102]  M. Horodecki,et al.  BOUND ENTANGLEMENT CAN BE ACTIVATED , 1998, quant-ph/9806058.

[103]  S. Lloyd.  Quantum-Mechanical Computers , 1995 .

[104]  E. Knill,et al.  Resilient Quantum Computation , 1998 .