Hyperentanglement purification with linear optics assisted by W-states

Hyperentanglement has attracted much attention in recent years for its promising applications. Various schemes on topics of manipulating, concentrating, and purifying hyperentangled photons have been discussed widely using nonlinear optics. However, the fidelities and experimental feasibilities are unsatisfied due to the low efficiency of the nonlinear optical process. In order to overcome this problem, we present an one-step hyperentanglement purification protocol with linear optics for non-local photon systems in mixed polarization- and spatial-mode- hyperentangled states. Errors in both polarization and spatial-mode degrees of freedom can be purified simultaneously with the assistance of W-states. We also discuss the efficiencies and experimental feasibilities of this linear optics-based protocol.

[1]  Fu-Guo Deng,et al.  Practical hyperentanglement concentration for two-photon four-qubit systems with linear optics , 2013, 1306.0050.

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

[3]  P. Grangier,et al.  Homodyne tomography of a single photon retrieved on demand from a cavity-enhanced cold atom memory. , 2013, Physical review letters.

[4]  S. Walborn,et al.  Hyperentanglement-assisted Bell-state analysis , 2003, quant-ph/0307212.

[5]  Sahin Kaya Ozdemir,et al.  Fusing multiple W states simultaneously with a Fredkin gate , 2014, 1402.3152.

[6]  James C. Gates,et al.  High quantum efficiency photon-number-resolving detector for photonic on-chip information processing , 2013, CLEO: 2013.

[7]  Marco Fiorentino,et al.  Deterministic controlled-NOT gate for single-photon two-qubit quantum logic. , 2004, Physical review letters.

[8]  Can Yesilyurt,et al.  An optical gate for simultaneous fusion of four photonic W or Bell states , 2013, Quantum Inf. Process..

[9]  Anton Zeilinger,et al.  Discrete, tunable color-entanglement , 2009 .

[10]  G. Long,et al.  General scheme for superdense coding between multiparties , 2001, quant-ph/0110112.

[11]  Jian-Wei Pan,et al.  Polarization entanglement purification using spatial entanglement. , 2001, Physical review letters.

[12]  X. Zou,et al.  Generation of an entangled four-photon W state , 2002, quant-ph/0202090.

[13]  Fuguo Deng,et al.  Quantum secure direct communication with high-dimension quantum superdense coding , 2005 .

[14]  Wolfgang Dür,et al.  Quantum Repeaters: The Role of Imperfect Local Operations in Quantum Communication , 1998 .

[15]  Kyu-Hwang Yeon,et al.  Local conversion of four Einstein-Podolsky-Rosen photon pairs into four-photon polarization-entangled decoherence-free states with non-photon-number-resolving detectors. , 2011, Optics express.

[16]  Olivier Pfister,et al.  One-way quantum computing in the optical frequency comb. , 2008, Physical review letters.

[17]  T. Wei,et al.  Beating the channel capacity limit for linear photonic superdense coding , 2008 .

[18]  Harald Weinfurter,et al.  Embedded Bell-state analysis , 1998 .

[19]  Masato Koashi,et al.  Elementary optical gate for expanding an entanglement web , 2008, 0803.1897.

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

[21]  Can Yesilyurt,et al.  Enhancing the W State Quantum Network Fusion Process with A Single Fredkin Gate , 2013, 1303.4008.

[22]  Fuguo Deng.  One-step error correction for multipartite polarization entanglement , 2011, 1107.0093.

[23]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

[24]  Fu-Guo Deng,et al.  Hyperentanglement purification and concentration assisted by diamond NV centers inside photonic crystal cavities , 2013, 1309.0168.

[25]  Shou Zhang,et al.  Linear optical generation of multipartite entanglement with conventional photon detectors , 2009 .

[26]  Hui Yan,et al.  Generation of narrow-band hyperentangled nondegenerate paired photons. , 2011, Physical review letters.

[27]  John C Howell,et al.  Large-alphabet quantum key distribution using energy-time entangled bipartite States. , 2007, Physical review letters.

[28]  A. Zeilinger,et al.  Discrete, tunable color-entanglement , 2009, CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference.

[29]  M. Koashi,et al.  Experimental extraction of an entangled photon pair from two identically decohered pairs , 2003, Nature.

[30]  G. Vallone,et al.  Complete and deterministic discrimination of polarization Bell states assisted by momentum entanglement , 2006, quant-ph/0609080.

[31]  Tie-Jun Wang,et al.  Linear-optical implementation of hyperdistillation from photon loss , 2014 .

[32]  Deutsch,et al.  Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels. , 1996, Physical review letters.

[33]  Isaac L. Chuang,et al.  Quantum Computation and Quantum Information (10th Anniversary edition) , 2011 .

[34]  Jian-Wei Pan,et al.  Entanglement purification for quantum communication , 2000, Nature.

[35]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[36]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[37]  Charles H. Bennett,et al.  Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. , 1992, Physical review letters.

[38]  Fuguo Deng,et al.  Deterministic entanglement purification and complete nonlocal Bell-state analysis with hyperentanglement , 2010 .

[39]  Paolo Farinello,et al.  Toward Waveform Nonlinear Optics Using Multimillijoule Sub-Cycle Waveform Synthesizers , 2015, IEEE Journal of Selected Topics in Quantum Electronics.

[40]  Fuguo Deng,et al.  Efficient polarization-entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity , 2008, 0805.0032.

[41]  Fuguo Deng,et al.  One-step deterministic polarization-entanglement purification using spatial entanglement , 2010, 1008.3509.

[42]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

[43]  Masato Koashi,et al.  Local transformation of two einstein-podolsky-rosen photon pairs into a three-photon w state. , 2008, Physical review letters.

[44]  A. J. Shields,et al.  An avalanche-photodiode-based photon-number-resolving detector , 2008, 0807.0330.

[45]  Xihan Li.  Deterministic polarization-entanglement purification using spatial entanglement , 2010, 1010.5301.

[46]  Tiejun Wang,et al.  Parallel Quantum Computing Teleportation for Spin Qubits in Quantum Dot and Microcavity Coupled System , 2015, IEEE Journal of Selected Topics in Quantum Electronics.

[47]  Christian Kurtsiefer,et al.  Complete deterministic linear optics Bell state analysis. , 2006, Physical review letters.

[48]  Paul G. Kwiat,et al.  Hyper-entangled states , 1997 .