Integrated multimode interferometers with arbitrary designs for photonic boson sampling

The boson-sampling problem was demonstrated by studying three-photon interference in a five-mode integrated interferometer containing three-dimensional S-bent waveguides. Three single photons were input into the interferometer and the probability ratios of all events were measured. The results agree with quantum mechanical predictions for three-photon interference.

[1]  A. Yariv Coupled-mode theory for guided-wave optics , 1973 .

[2]  F. Hoyle,et al.  Primitive grain clumps and organic compounds in carbonaceous chondrites , 1976, Nature.

[3]  Leslie G. Valiant,et al.  The Complexity of Computing the Permanent , 1979, Theor. Comput. Sci..

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

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

[6]  Shih,et al.  New high-intensity source of polarization-entangled photon pairs. , 1995, Physical review letters.

[7]  Peter W. Shor,et al.  Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..

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

[9]  S. Scheel,et al.  Permanents in linear optical networks , 2004, quant-ph/0406127.

[10]  Andreas Tünnermann,et al.  Control of directional evanescent coupling in fs laser written waveguides. , 2007, Optics express.

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

[12]  E. Mazur,et al.  Femtosecond laser micromachining in transparent materials , 2008 .

[13]  F. Mattioli,et al.  Superconducting nanowire photon number resolving detector at telecom wavelength , 2008, 2008 Conference on Lasers and Electro-Optics and 2008 Conference on Quantum Electronics and Laser Science.

[14]  Andrea Fiore,et al.  Superconducting nanowire photon-number-resolving detector at telecommunication wavelengths , 2008 .

[15]  Lance Fortnow,et al.  Proceedings of the 55th Annual ACM Symposium on Theory of Computing , 2011, STOC.

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

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

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

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

[20]  Roberto Osellame,et al.  Micromachining of photonic devices by femtosecond laser pulses , 2008 .

[21]  K. Życzkowski,et al.  ON MUTUALLY UNBIASED BASES , 2010, 1004.3348.

[22]  A. Politi,et al.  Quantum Walks of Correlated Photons , 2010, Science.

[23]  Ian Farrer,et al.  Two-photon interference of the emission from electrically tunable remote quantum dots , 2010 .

[24]  Todd A. Brun,et al.  Quantum Computing , 2011, Computer Science, The Hardware, Software and Heart of It.

[25]  Giuseppe Vallone,et al.  Polarization entangled states measurement on a chip , 2011, Optics + Optoelectronics.

[26]  G. Vallone,et al.  Integrated photonic quantum gates for polarization qubits , 2011, Nature communications.

[27]  Timothy C. Ralph,et al.  Error tolerance of the boson-sampling model for linear optics quantum computing , 2011, 1111.2426.

[28]  G. Marshall,et al.  Non-classical interference in integrated 3D multiports. , 2012, Optics express.

[29]  J. O'Brien,et al.  Super-stable tomography of any linear optical device , 2012, 1208.2868.

[30]  G. Vallone,et al.  Two-particle bosonic-fermionic quantum walk via integrated photonics. , 2011, Physical review letters.

[31]  Andrew G. White,et al.  Photonic Boson Sampling in a Tunable Circuit , 2012, Science.

[32]  B. J. Metcalf,et al.  Boson Sampling on a Photonic Chip , 2012, Science.

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

[34]  Nicolò Spagnolo,et al.  Three-photon bosonic coalescence in an integrated tritter , 2012, Nature Communications.

[35]  Philip Walther,et al.  Experimental boson sampling , 2012, Nature Photonics.