Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity

Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper. The probability of the success of these gates can be increased by quantum nondemolition detectors, which are used to judge which paths the signal photons pass through. These schemes are almost deterministic and require no ancilla photon. The advantages of these gates over the existing ones include less resource consumption and a higher probability of success, which make our schemes more feasible with current technology.

[1]  H. Weinfurter,et al.  Linear optics controlled-phase gate made simple. , 2005, Physical Review Letters.

[2]  T. Spiller,et al.  Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities , 2004, quant-ph/0408117.

[3]  Keiji Sasaki,et al.  Optimized phase switching using a single-atom nonlinearity , 2002, quant-ph/0208029.

[4]  曹帅,et al.  Linear optics implementation for quantum game under quantum noise , 2006 .

[5]  汪新文,et al.  Feasible schemes for quantum swap gates of optical qubits via cavity QED , 2011 .

[6]  Shigeki Takeuchi,et al.  Quantum phase gate for photonic qubits using only beam splitters and postselection , 2001, quant-ph/0111092.

[7]  Pieter Kok,et al.  Effects of self-phase-modulation on weak nonlinear optical quantum gates , 2007, 0710.1810.

[8]  Guang-Can Guo,et al.  Methods for a linear optical quantum Fredkin gate , 2008, 0804.0992.

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

[10]  Bing He,et al.  Creation of high-quality long-distance entanglement with flexible resources , 2008, 0808.2320.

[11]  Unconventional geometric phase gate and multiqubit entanglement for hot ions with a frequency-modulated field , 2010 .

[12]  W. Munro,et al.  A near deterministic linear optical CNOT gate , 2004 .

[13]  T. Spiller,et al.  An introduction to quantum information processing: applications and realizations , 2005 .

[14]  Masahiro Takeoka,et al.  Discrimination of binary coherent states using a homodyne detector and a photon number resolving detector , 2010, 1002.0232.

[15]  X. Shao,et al.  Scheme for implementing linear optical quantum iSWAP gate with conventional photon detectors , 2010 .

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

[17]  T. Spiller,et al.  Efficient optical quantum information processing , 2005, quant-ph/0506116.

[18]  Jian-Wei Pan,et al.  Optical Nondestructive Controlled-NOT Gate without Using Entangled Photons , 2007 .

[19]  Shi-Qing Tang,et al.  Photonic two-qubit parity gate with tiny cross–Kerr nonlinearity , 2011, 1112.6135.

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

[21]  Qi Guo,et al.  Simplified optical quantum-information processing via weak cross-Kerr nonlinearities , 2011 .

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

[23]  G. Milburn,et al.  Linear optical quantum computing with photonic qubits , 2005, quant-ph/0512071.

[24]  Jie Song,et al.  Efficient implementation of the two-qubit controlled phase gate with cross-Kerr nonlinearity , 2011 .

[25]  Jian Li,et al.  Quantum control gates with weak cross-Kerr nonlinearity , 2008, 0811.3364.