Robust quantum gates on neutral atoms with cavity-assisted photon scattering

We propose a scheme to achieve quantum computation with neutral atoms whose interactions are catalyzed by single photons. Conditional quantum gates, including an N-atom Toffoli gate and nonlocal gates on remote atoms, are obtained through cavity-assisted photon scattering in a manner that is robust to random variation in the atom-photon coupling rate and which does not require localization in the Lamb-Dicke regime. The dominant noise in our scheme is automatically detected for each gate operation, leading to signalled errors which do not preclude efficient quantum computation even if the error probability is close to the unity.

[1]  F. Schmidt-Kaler,et al.  Spontaneous emission lifetime of a single trapped Ca(+) ion in a high finesse cavity. , 2004, Physical review letters.

[2]  Zheng-Fu Han,et al.  Realizing quantum controlled phase flip through cavity QED (5 pages) , 2004 .

[3]  C. Monroe,et al.  Quantum information processing with atoms and photons , 2002, Nature.

[4]  J. Mckeever,et al.  Determination of the number of atoms trapped in an optical cavity. , 2004, Physical review letters.

[5]  D Meschede,et al.  Coherence properties and quantum state transportation in an optical conveyor belt. , 2003, Physical review letters.

[6]  L-M Duan,et al.  Efficient quantum computation with probabilistic quantum gates. , 2005, Physical review letters.

[7]  Herbert Walther,et al.  Continuous generation of single photons with controlled waveform in an ion-trap cavity system , 2004, Nature.

[8]  C. Hamley,et al.  Cavity QED with optically transported atoms , 2003, quant-ph/0309052.

[9]  J. Hughes,et al.  Transport of Quantum States and Separation of Ions in a Dual Rf Ion Trap * , 2002 .

[10]  G. Rempe,et al.  Normal-mode spectroscopy of a single-bound-atom-cavity system. , 2004, Physical review letters.

[11]  H. J. Kimble,et al.  Cavity QED and quantum-information processing with "hot" trapped atoms , 2003 .

[12]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[13]  Pieter Kok,et al.  Efficient high-fidelity quantum computation using matter qubits and linear optics , 2005 .

[14]  Hood,et al.  Measurement of conditional phase shifts for quantum logic. , 1995, Physical review letters.

[15]  J. Cirac,et al.  Quantum State Transfer and Entanglement Distribution among Distant Nodes in a Quantum Network , 1996, quant-ph/9611017.

[16]  H J Kimble,et al.  State-insensitive cooling and trapping of single atoms in an optical cavity. , 2003, Physical review letters.

[17]  Neutral atom quantum register. , 2004, Physical review letters.

[18]  P. Maunz,et al.  Cavity cooling of a single atom , 2004, Nature.

[19]  Gardiner,et al.  Decoherence, continuous observation, and quantum computing: A cavity QED model. , 1995, Physical review letters.

[20]  H. Kimble,et al.  Scalable photonic quantum computation through cavity-assisted interactions. , 2004, Physical review letters.

[21]  Observation of the vacuum Rabi spectrum for one trapped atom. , 2004, Physical review letters.

[22]  L.-M. Duan,et al.  Engineering superpositions of coherent states in coherent optical pulses through cavity-assisted interaction , 2005 .