Deterministic controlled remote state preparation using partially entangled quantum channel

In this paper, we propose a novel scheme for deterministic controlled remote state preparation (CRSP) of arbitrary two-qubit states. Suitably chosen partially entangled state is used as the quantum channel. With proper projective measurements carried out by the sender and controller, the receiver can reconstruct the target state by means of appropriate unitary operation. Unit success probability can be achieved for arbitrary two-qubit states. Different from some previous CRSP schemes utilizing partially entangled channels, auxiliary qubit is not required in our scheme. We also show that the success probability is independent of the parameters of the partially entangled quantum channel.

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

[2]  W. Wootters Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

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

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

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

[6]  Michael A. Nielsen,et al.  Quantum Computation and Quantum Information Theory , 2000 .

[7]  Igor Devetak,et al.  Low-Entanglement Remote State Preparation , 2001, OFC 2001.

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

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

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

[11]  P. Hayden,et al.  Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication , 2003, quant-ph/0308143.

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

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

[14]  G. Guo,et al.  Faithful remote state preparation using finite classical bits and a nonmaximally entangled state , 2003, quant-ph/0307027.

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

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

[17]  H. Weinfurter,et al.  Remote preparation of an atomic quantum memory , 2007, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[18]  Harald Weinfurter,et al.  Remote preparation of an atomic quantum memory , 2007 .

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

[20]  Liu Yimin,et al.  Controlled Remote State Preparation , 2009 .

[21]  Wang Jing,et al.  Multiparty-Controlled Remote Preparation of Two-Particle State , 2009 .

[22]  Tzu-Chieh Wei,et al.  Remote preparation of single-photon "hybrid" entangled and vector-polarization States. , 2010, Physical review letters.

[23]  M. Luo,et al.  Remote Preparation of an Arbitrary Two-Qubit State with Three-Party , 2010 .

[24]  Wang Zhang-Yin,et al.  Controlled Remote Preparation of a Two-Qubit State via an Asymmetric Quantum Channel , 2011 .

[25]  Zhang-Yin Wang,et al.  Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements , 2011 .

[26]  Zhao Li,et al.  PROBABILISTIC MULTIPARTY-CONTROLLED REMOTE PREPARATION OF AN ARBITRARY m-QUDIT STATE VIA POSITIVE OPERATOR-VALUED MEASUREMENT , 2012 .

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

[28]  Dong Wang,et al.  Multiparty-controlled joint remote state preparation , 2013, Quantum Inf. Process..

[29]  Xihan Li,et al.  Control Power in Perfect Controlled Teleportation via Partially Entangled Channels , 2014, 1410.1196.

[30]  Tzonelih Hwang,et al.  Controlled remote state preparation protocols via AKLT states , 2014, Quantum Inf. Process..

[31]  Cao Thi Bich,et al.  Perfect controlled joint remote state preparation independent of entanglement degree of the quantum channel , 2014 .

[32]  Chun Wang,et al.  Controlled remote state preparation via partially entangled quantum channel , 2014, Quantum Information Processing.