Deterministic joint remote state preparation of arbitrary two-qubit state through noisy cluster-GHZ channel

Abstract We have investigated the effect of different quantum noises on deterministic joint remote state preparation of arbitrary two-qubit systems, carried out through the collective action on a coupled cluster-GHZ state without introducing auxiliary qubit. The present scheme is deterministic, in comparison to the existing probabilistic schemes. The selection of measurement bases plays a crucial role in the success of our scheme. We have demonstrated the effect of six distinct noises on information loss, quantified through the fidelity measure. The loss of information is found to be minimum for amplitude damping channel and is maximum for the bit-flip channel.

[1]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[2]  Le Sun,et al.  The effect of quantum noise on two different deterministic remote state preparation of an arbitrary three-particle state protocols , 2018, Quantum Inf. Process..

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

[4]  H. Briegel,et al.  Measurement-based quantum computation on cluster states , 2003, quant-ph/0301052.

[5]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[6]  Le Sun,et al.  Effect of quantum noise on deterministic remote state preparation of an arbitrary two-particle state via various quantum entangled channels , 2017, Quantum Information Processing.

[7]  Oscar Camacho-Nieto,et al.  JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels , 2016, 1609.01538.

[8]  Yixian Yang,et al.  Joint Remote Preparation of an Arbitrary Two-Qubit State in Noisy Environments , 2014 .

[9]  P. Panigrahi,et al.  Teleportation in the presence of common bath decoherence at the transmitting station , 2008, 0805.1456.

[10]  Dong Wang,et al.  Joint remote state preparation of arbitrary two-qubit state with six-qubit state , 2011 .

[11]  Fuguo Deng,et al.  Reply to ``Comment on `Secure direct communication with a quantum one-time-pad' '' , 2004, quant-ph/0405177.

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

[13]  Binayak S. Choudhury,et al.  Remote Preparation of Some Three Particle Entangled States Under Divided Information , 2018, International Journal of Theoretical Physics.

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

[15]  Yan Xia,et al.  Joint remote preparation of an arbitrary two-qubit state via a generalized seven-qubit brown state , 2015 .

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

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

[18]  P. Zhou,et al.  Remote implementation of single-qubit operations via hyperentangled states with cross-Kerr nonlinearity , 2019, Journal of the Optical Society of America B.

[19]  Cao Thi Bich,et al.  Deterministic joint remote state preparation , 2011 .

[20]  Gian Luca Giorgi,et al.  Quantum discord and remote state preparation , 2013, 1306.6873.

[21]  Jian-Wei Pan,et al.  Quantum Teleportation in High Dimensions. , 2019, Physical review letters.

[22]  P. Panigrahi,et al.  Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state , 2007, 0708.3785.

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

[24]  R. Cleve,et al.  HOW TO SHARE A QUANTUM SECRET , 1999, quant-ph/9901025.

[25]  Mingming Wang,et al.  Effect of quantum noise on deterministic joint remote state preparation of a qubit state via a GHZ channel , 2016, Quantum Inf. Process..

[26]  Yu-Guang Yang,et al.  Corrigendum: Secure quantum private comparison , 2013 .

[27]  Jin-Fang Li,et al.  Deterministic joint remote preparation of an arbitrary two-qubit state in noisy environments , 2015, Quantum Inf. Process..

[28]  Xiaolong Su,et al.  Experimental preparation of quadripartite cluster and Greenberger-Horne-Zeilinger entangled states for continuous variables. , 2006, Physical review letters.

[29]  G. Long,et al.  Theoretically efficient high-capacity quantum-key-distribution scheme , 2000, quant-ph/0012056.

[30]  F Verstraete,et al.  Quantum nonlocality in the presence of superselection rules and data hiding protocols. , 2003, Physical review letters.

[31]  Tripartite non-maximally-entangled mixed states as a resource for optimally controlled quantum teleportation fidelity , 2019, Physical Review A.

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

[33]  Min Jiang,et al.  Deterministic remote preparation of arbitrary single-qubit state via one intermediate node in noisy environment , 2020 .

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

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

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

[37]  Wei Zhang,et al.  Quantum Secure Direct Communication with Quantum Memory. , 2016, Physical review letters.