Quantum computing using single photons and the Zeno effect

We show that the quantum Zeno effect can be used to suppress the failure events that would otherwise occur in a linear optics approach to quantum computing. From a practical viewpoint, that would allow the implementation of deterministic logic gates without the need for ancilla photons or high-efficiency detectors. We also show that the photons can behave as if they were fermions instead of bosons in the presence of a strong Zeno effect, which leads to an alternative paradigm for quantum computation.

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

[2]  Hong,et al.  Measurement of subpicosecond time intervals between two photons by interference. , 1987, Physical review letters.

[3]  E. Sudarshan,et al.  Zeno's paradox in quantum theory , 1976 .

[4]  R. Loudon FERMION AND BOSON BEAM-SPLITTER STATISTICS , 1998 .

[5]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

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

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

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

[9]  D. DiVincenzo,et al.  Quantum computation with quantum dots , 1997, cond-mat/9701055.

[10]  G Kurizki,et al.  Universal dynamical control of quantum mechanical decay: modulation of the coupling to the continuum. , 2001, Physical review letters.

[11]  David Deutsch,et al.  Stabilization of Quantum Computations by Symmetrization , 1997, SIAM J. Comput..

[12]  Wojciech H. Zurek,et al.  Reversibility and stability of information processing systems , 1984 .

[13]  Vaidman,et al.  Error prevention scheme with four particles. , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[15]  J. Mompart,et al.  Quantum computing in optical microtraps based on the motional states of neutral atoms , 2002 .