Parametric downconversion and optical quantum gates: two's company, four's a crowd

We show that the primary cause of errors in a broad class of optical quantum-logic gates are due to the higher-order photon terms in parametric downconversion sources. A model describing real-life imperfections in these entangling gates is presented and tested in an experiment where we entangle dependent photons from the same downconversion source using a controlled-z gate, and measure the state tomographically. We find good agreement between the modelled and measured results. Our investigations demonstrate that, although small, these noise terms are amplified by the intrinsic non-determinism of the gates. It is worth considering alternative schemes based on weak nonlinearities to see if they are more resilient to this degradation.

[1]  Jeremy L O'Brien,et al.  Measuring two-qubit gates , 2007 .

[2]  Input states for quantum gates , 2003, quant-ph/0301112.

[3]  Andrew G. White,et al.  Measurement of qubits , 2001, quant-ph/0103121.

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

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

[6]  K J Resch,et al.  Demonstration of a simple entangling optical gate and its use in bell-state analysis. , 2005, Physical review letters.

[7]  B. Lanyon,et al.  Entanglement generation by Fock-state filtration. , 2006, Physical review letters.

[8]  A. Bloom Quantum Electronics , 1972, Nature.

[9]  David C. Burnham,et al.  Observation of Simultaneity in Parametric Production of Optical Photon Pairs , 1970 .

[10]  D. Branning,et al.  Tailoring single-photon and multiphoton probabilities of a single-photon on-demand source , 2002, quant-ph/0205140.

[11]  J. E. Mooij,et al.  Demonstration of controlled-NOT quantum gates on a pair of superconducting quantum bits , 2007, Nature.

[12]  M. Nielsen Optical quantum computation using cluster States. , 2004, Physical review letters.

[13]  T. Hänsch,et al.  Controlled collisions for multi-particle entanglement of optically trapped atoms , 2003, Nature.

[14]  Photon-loss-tolerant Zeno controlled-SIGN gate , 2006, quant-ph/0612176.

[15]  宅間 宏,et al.  Amnon Yariv: Quantum Electronics, John Wiley and Sons, Inc., New York, 1967, 478頁, 16×24cm, 5,980円. , 1968 .

[16]  D. Leibfried,et al.  Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate , 2003, Nature.

[17]  B. Lanyon,et al.  Experimental demonstration of a compiled version of Shor's algorithm with quantum entanglement. , 2007, Physical review letters.

[18]  Thomas Jennewein,et al.  A wavelength-tunable fiber-coupled source of narrowband entangled photons. , 2007, Optics express.

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

[20]  A. Zeilinger,et al.  Experimental one-way quantum computing , 2005, Nature.

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

[22]  A. Politi,et al.  Silica-on-Silicon Waveguide Quantum Circuits , 2008, Science.

[23]  T. Ralph,et al.  Quantum process tomography of a controlled-NOT gate. , 2004, Physical review letters.

[24]  Andrew G. White,et al.  Understanding photonic quantum-logic gates: The road to fault tolerance , 2008, 0808.0794.

[25]  F. Schmidt-Kaler,et al.  Realization of the Cirac–Zoller controlled-NOT quantum gate , 2003, Nature.

[26]  Anton Zeilinger,et al.  Filtering out photonic Fock states. , 2006, Physical review letters.

[27]  Keiji Sasaki,et al.  Demonstration of an optical quantum controlled-NOT gate without path interference. , 2005, Physical review letters.

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

[29]  R. Prevedel,et al.  High-speed linear optics quantum computing using active feed-forward , 2007, Nature.

[30]  S D Bartlett,et al.  Measuring a photonic qubit without destroying it. , 2004, Physical review letters.

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

[32]  E. Knill,et al.  Quantum gates using linear optics and postselection , 2002 .