Towards Scalable Linear-Optical Quantum Computers

AbstractScalable quantum computation with linear optics was considered to be impossible due to the lack of efficient two-qubit logic gates, despite the ease of implementation of one-qubit gates. Two-qubit gates necessarily need a non-linear interaction between the two photons, and the efficiency of this non-linear interaction is typically very small in bulk materials. However, it has recently been shown that this barrier can be circumvented with effective non-linearities produced by projective measurements, and with this work linear-optical quantum computing becomes a new avenue towards scalable quantum computation. We review several issues concerning the principles and requirements of this scheme. PACS: 03.67.Lx, 03.67.Pp, 42.50.Dv, 42.65.Lm

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

[2]  Jian-Wei Pan,et al.  Experimental nonlinear sign shift for linear optics quantum computation. , 2003, Physical review letters.

[3]  J. D. Franson,et al.  Cyclical Quantum Memory for Photonic Qubits , 2002 .

[4]  J. D. Franson,et al.  Demonstration of feed-forward control for linear optics quantum computation , 2002 .

[5]  J. Franson,et al.  Demonstration of nondeterministic quantum logic operations using linear optical elements. , 2001, Physical review letters.

[6]  Jonathan P. Dowling,et al.  Single-photon quantum-nondemolition detectors constructed with linear optics and projective measurements , 2002 .

[7]  J. D. Franson,et al.  Probabilistic quantum logic operations using polarizing beam splitters , 2001, quant-ph/0107091.

[8]  D. James,et al.  Atomic-vapor-based high efficiency optical detectors with photon number resolution. , 2002, Physical review letters.

[9]  J. Raimond,et al.  Seeing a single photon without destroying it , 1999, Nature.

[10]  A. Imamoğlu.  High efficiency photon counting using stored light. , 2002, Physical Review Letters.

[11]  J D Franson,et al.  High-fidelity quantum logic operations using linear optical elements. , 2002, Physical review letters.

[12]  N. Yoran,et al.  Deterministic linear optics quantum computation with single photon qubits. , 2003, Physical review letters.

[13]  E. Diamanti,et al.  High-efficiency photon-number detection for quantum information processing , 2003, quant-ph/0308054.

[14]  Farrokh Vatan,et al.  All linear optical quantum memory based on quantum error correction. , 2003, Physical review letters.

[15]  J. Franson,et al.  Violation of Bell's inequality with photons from independent sources. , 2003, Physical review letters.

[16]  T. Ralph,et al.  Demonstration of an all-optical quantum controlled-NOT gate , 2003, Nature.

[17]  Jonathan P. Dowling,et al.  Conditional linear-optical measurement schemes generate effective photon nonlinearities , 2003 .

[18]  Jonathan P Dowling,et al.  Quantum technology: the second quantum revolution , 2003, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

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

[21]  M. J. Fitch,et al.  Experimental controlled-NOT logic gate for single photons in the coincidence basis , 2003, quant-ph/0303095.

[22]  J. D. Franson,et al.  Single photons on pseudodemand from stored parametric down-conversion , 2002, quant-ph/0205103.

[23]  Colin P. Williams,et al.  Practical quantum repeaters with linear optics and double-photon guns , 2002, quant-ph/0203134.

[24]  R Raussendorf,et al.  A one-way quantum computer. , 2001, Physical review letters.