Multiparty-controlled joint remote state preparation

In this work, we present a novel and efficient information-processing way, multiparty-controlled joint remote state preparation (MCJRSP), to transmit quantum information from many senders to one distant receiver via the control of many agents in a network. We firstly put forward a scheme regarding MCJRSP for an arbitrary single-particle state via Greenberg–Horne–Zeilinger entangled states, and then extend to generalize an arbitrary two-particle state scenario. Notably, different from conventional joint remote state preparation, the desired states cannot be recovered but all of agents collaborate together. Besides, both successful probability and classical information cost are worked out, the relations between success probability and the employed entanglement are revealed, the case of many-particle states is generalized briefly, and the experimental feasibility of our schemes is analysed via an all-optical framework at last. And we argue that our proposal might be of importance to long-distance communication in prospective quantum networks.

[1]  Vaidman,et al.  Properties of a quantum system during the time interval between two measurements. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[2]  Ping Zhou,et al.  Multiparty Joint Remote Preparation of an Arbitrary GHZ-Class State via Positive Operator-Valued Measurement , 2012 .

[3]  Masahide Sasaki,et al.  Implementation of projective measurements with linear optics and continuous photon counting , 2005 .

[4]  You-Bang Zhan,et al.  Joint remote preparation of four-qubit cluster-type states , 2011 .

[5]  Liu Ye,et al.  Optimizing Scheme for Remote Preparation of Four-particle Cluster-like Entangled States , 2011 .

[6]  C. H. Bennett,et al.  Remote state preparation. , 2000, Physical review letters.

[7]  Cheng-Zu Li,et al.  Deterministic remote preparation of pure and mixed polarization states , 2009, 0909.2570.

[8]  K. Gao,et al.  Experimental implementation of remote state preparation by nuclear magnetic resonance , 2002, quant-ph/0202004.

[9]  A. Pati.  Minimum classical bit for remote preparation and measurement of a qubit , 1999, quant-ph/9907022.

[10]  You-Bang Zhan,et al.  Deterministic joint remote preparation of arbitrary two- and three-qubit entangled states , 2013, Quantum Inf. Process..

[11]  Vaidman,et al.  How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100. , 1988, Physical review letters.

[12]  M. J. Fitch,et al.  Experimental controlled-NOT logic gate for single photons in the coincidence basis , 2003, quant-ph/0303095.

[13]  Fengli Yan,et al.  REMOTE PREPARATION OF THE TWO-PARTICLE STATE , 2008 .

[14]  Dong Wang,et al.  Remote preparation of a class of three-qubit states , 2008 .

[15]  M. Goggin,et al.  Remote state preparation: arbitrary remote control of photon polarization. , 2005, Physical review letters.

[16]  Jian-Wei Pan,et al.  Realization of a photonic controlled-NOT gate sufficient for quantum computation. , 2004, Physical Review Letters.

[17]  William K. Wootters,et al.  Erratum: Remote State Preparation [Phys. Rev. Lett. 87, 077902 (2001)] , 2002 .

[18]  Yan Xia,et al.  Deterministic joint remote preparation of an arbitrary three-qubit state via Einstein–Podolsky–Rosen pairs with a passive receiver , 2012 .

[19]  Z. Kurucz,et al.  General criterion for oblivious remote state preparation , 2006 .

[20]  N. An.  Joint remote preparation of a general two-qubit state , 2009 .

[21]  Cao Thi Bich,et al.  Deterministic Joint Remote Preparation of an Arbitrary Qubit via Einstein-Podolsky-Rosen Pairs , 2012 .

[22]  H. Lo.  Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity , 1999, quant-ph/9912009.

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

[24]  Jin-Ming Liu,et al.  Remote preparation of arbitrary two- and three-qubit states , 2009 .

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

[26]  Chui-Ping Yang,et al.  Efficient many-party controlled teleportation of multiqubit quantum information via entanglement , 2004, quant-ph/0402138.

[27]  Hong-Yi Dai,et al.  Classical communication cost and remote preparation of the four-particle GHZ class state , 2006 .

[28]  I. Shelykh,et al.  Theory of polarization-controlled polariton logic gates , 2010 .

[29]  Mingxing Luo,et al.  Joint remote state preparation of arbitrary two-particle states via GHZ-type states , 2013, Quantum Inf. Process..

[30]  Liu Ye,et al.  Probabilistic Joint Remote Preparation of Four-Particle Cluster-Type States with Quaternate Partially Entangled Channels , 2012 .

[31]  Ping Zhou,et al.  Joint remote preparation of an arbitrary m-qudit state with a pure entangled quantum channel via positive operator-valued measurement , 2012 .

[32]  Cao Thi Bich,et al.  Joint remote preparation of four-qubit cluster-type states revisited , 2011 .

[33]  Zhang Ming,et al.  Remote preparation of an entangled two-qubit state with three parties , 2008 .

[34]  Yan Xia,et al.  Joint remote preparation of an arbitrary three-qubit state via EPR-type pairs , 2011 .

[35]  Yixian Yang,et al.  Joint Remote Preparation of an Arbitrary Three-Qubit State with Mixed Resources , 2010, International Journal of Theoretical Physics.

[36]  Yun Deng,et al.  Joint Remote Preparation of an Arbitrary 4-Qubit χ-State , 2012 .

[37]  Debbie W Leung,et al.  Oblivious remote state preparation. , 2003, Physical review letters.

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

[39]  Kui Hou,et al.  Joint remote preparation of an arbitrary two-qubit state via GHZ-type states , 2011 .

[40]  B. A. Nguyen,et al.  Joint remote state preparation , 2008 .

[41]  Yu-zhu Wang,et al.  Remote preparation of a two-particle entangled state , 2003 .

[42]  Cheng-Zu Li,et al.  Remote state preparation with classically correlated state , 2008 .

[43]  Xiao-Wei Guan,et al.  Controlled-Joint Remote Preparation of an Arbitrary Two-Qubit State via Non-maximally Entangled Channel , 2012 .

[44]  Lars M. Johansen,et al.  Quantum theory of successive projective measurements , 2007, 0705.0229.

[45]  B. Sanders,et al.  Optimal remote state preparation. , 2002, Physical review letters.

[46]  Yan Xia,et al.  Joint Remote Preparation of a General Three-Qubit State via Non-maximally GHZ States , 2012 .

[47]  Ping Zhou,et al.  Probabilistic Multiparty Joint Remote Preparation of an Arbitrary m-Qubit State with a Pure Entangled Channel Against Collective Noise , 2012, International Journal of Theoretical Physics.

[48]  Yan Xia,et al.  Multiparty remote state preparation , 2007 .

[49]  Guihua Zeng,et al.  Joint remote state preparation of arbitrary two- and three-qubit states , 2011 .

[50]  Xin-Wei Zha,et al.  Remote preparation of a two-particle state using a four-qubit cluster state , 2011 .

[51]  G. Guo,et al.  Remote preparation of mixed states via noisy entanglement (6 pages) , 2005, quant-ph/0503088.

[52]  Masahide Sasaki,et al.  Binary projective measurement via linear optics and photon counting. , 2006, Physical review letters.

[53]  Andrei Galiautdinov.  Generation of high-fidelity controlled-NOT logic gates by coupled superconducting qubits , 2007 .

[54]  Fuguo Deng,et al.  Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement , 2005, quant-ph/0501129.

[55]  Guang-Can Guo,et al.  Multipartite entanglement preparation and quantum communication with atomic ensembles , 2005 .

[56]  T. Berger,et al.  Low-entanglement remote state preparation. , 2001, Physical review letters.

[57]  Cheng-Zu Li,et al.  Experimental remote preparation of arbitrary photon polarization states , 2007 .

[58]  Xiubo Chen,et al.  Experimental architecture of joint remote state preparation , 2011, Quantum Information Processing.

[59]  Simple criteria for the implementation of projective measurements with linear optics , 2003, quant-ph/0304057.

[60]  Yan Xia,et al.  Joint remote state preparation of a W-type state via W-type states , 2010 .

[61]  A. Wójcik,et al.  Projective measurement of the two-photon polarization state: Linear optics approach , 2002 .

[62]  N. An.  Joint remote state preparation via W and W-type states , 2010 .