Integrated waveguide circuits for optical quantum computing

Although practical realisation of a fully functioning quantum computer is still a long way off, recent progress both experimentally and theoretically is paving the way for possible implementations. One of the leading approaches is quantum optics, where photons are used as carriers of quantum information, and are manipulated in both linear and non-linear optical circuits. More recently, advances in integrated quantum photonics are enabling the realisation of compact and stable quantum gates and circuits. This approach provides routes to enhancing the complexity of quantum optic experiments, and ultimately towards the development of advanced quantum technologies. This study presents an overview of recent developments in the field of integrated waveguide quantum circuits. Key building blocks required for the realisation of quantum circuits are presented, and a rudimentary version of Shor's quantum factoring algorithm is demonstrated. Planar waveguide quantum circuits provide a high-performance platform from which quantum technologies and experimental quantum physics using single photons can be developed, and a new generation of quantum information and computing devices can be monolithically integrated onto a single optical chip.

[1]  J Eisert,et al.  Percolation, renormalization, and quantum computing with nondeterministic gates. , 2007, Physical review letters.

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

[3]  I. Chuang,et al.  Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance , 2001, Nature.

[4]  A. Politi,et al.  Shor’s Quantum Factoring Algorithm on a Photonic Chip , 2009, Science.

[5]  R. Hadfield Single-photon detectors for optical quantum information applications , 2009 .

[6]  Rolf Landauer,et al.  Information is Physical , 1991, Workshop on Physics and Computation.

[7]  Jeremy L O'Brien,et al.  Laser written waveguide photonic quantum circuits. , 2009, Optics express.

[8]  Jian-Wei Pan,et al.  Demonstration of a compiled version of Shor's quantum factoring algorithm using photonic qubits. , 2007, Physical review letters.

[9]  Brian J. Smith,et al.  Phase-controlled integrated photonic quantum circuits. , 2009, Optics express.

[10]  A. Politi,et al.  Manipulation of multiphoton entanglement in waveguide quantum circuits , 2009, 0911.1257.

[11]  I. Chuang,et al.  Quantum Computation and Quantum Information: Introduction to the Tenth Anniversary Edition , 2010 .

[12]  C. M. Natarajan,et al.  Operating quantum waveguide circuits with superconducting single-photon detectors , 2010, 1003.4654.

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

[14]  S. Massar,et al.  Continuous wave photon pair generation in silicon-on-insulator waveguides and ring resonators. , 2009, Optics express.

[15]  John C. Zolper,et al.  A Future of Integrated Electronics: Moving Off the Roadmap , 2008 .

[16]  D. DiVincenzo,et al.  Quantum information is physical , 1997, cond-mat/9710259.

[17]  A. Kuhn,et al.  A Single-Photon Server with Just One Atom , 2007, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[18]  Reck,et al.  Experimental realization of any discrete unitary operator. , 1994, Physical review letters.

[19]  Sudhakar Prasad,et al.  A quantum description of the beam splitter , 1987 .

[20]  Timothy P. Spiller,et al.  Towards a quantum information technology industry , 2006 .

[21]  K. Vahala,et al.  Observation of strong coupling between one atom and a monolithic microresonator , 2006, Nature.

[22]  Alan Migdall,et al.  Introduction to journal of modern optics special issue on single-photon: Detectors, applications, and measurement methods , 2004 .

[23]  G. Cincotti,et al.  Prospects on Planar Quantum Computing , 2009, Journal of Lightwave Technology.

[24]  A. Imamoğlu,et al.  Giant Kerr nonlinearities obtained by electromagnetically induced transparency. , 1996, Optics letters.

[25]  Shigeki Takeuchi,et al.  Quantum filter for nonlocal polarization properties of photonic qubits. , 2001, Physical review letters.

[26]  Akihisa Tomita,et al.  Single-photon Interference over 150 km Transmission Using Silica-based Integrated-optic Interferometers for Quantum Cryptography , 2004, quant-ph/0403104.

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

[28]  N. Gisin,et al.  PPLN waveguide for quantum communication , 2001, quant-ph/0107125.

[29]  R. Jozsa Quantum algorithms and the Fourier transform , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[30]  G. Vallone,et al.  Hyperentanglement of two photons in three degrees of freedom , 2008, 0810.4461.

[31]  Dirk Englund,et al.  Controlled Phase Shifts with a Single Quantum Dot , 2008, Science.

[32]  Chuang,et al.  Simple quantum computer. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[33]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[34]  E.L. Wooten,et al.  A review of lithium niobate modulators for fiber-optic communications systems , 2000, IEEE Journal of Selected Topics in Quantum Electronics.

[35]  J. Rarity,et al.  Photonic quantum technologies , 2009, 1003.3928.

[36]  H Germany,et al.  Experimental realization of highly efficient broadband coupling of single quantum dots to a photonic crystal waveguide. , 2008, Physical review letters.

[37]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[38]  H. Takahashi,et al.  Silica-based PLC Type 32 x 32 Optical Matrix Switch , 2006, 2006 European Conference on Optical Communications.

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

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

[41]  A. Turing On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[42]  Lov K. Grover Quantum Mechanics Helps in Searching for a Needle in a Haystack , 1997, quant-ph/9706033.

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

[44]  Aephraim M. Steinberg,et al.  Conditional-phase switch at the single-photon level. , 2002, Physical review letters.

[45]  B. Sanders,et al.  Focus on Single Photons on Demand , 2004 .

[46]  A. Greentree,et al.  Diamond integrated quantum photonics , 2008 .

[47]  N. K. Langford,et al.  Linear optical controlled- NOT gate in the coincidence basis , 2002 .

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