Deterministic remote two-qubit state preparation in dissipative environments

Li, Jin-Fang; Liu, Jin-Ming; Feng, Xun‐Li; Oh, C. H.

doi:10.1007/s11128-016-1257-4

Cited by 26 publications

(18 citation statements)

References 59 publications

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“…where U 0 [= (|̺ 147 147 ̺| ⊗ I 258 ⊗ I 369 ) (I 147 ⊗ |ς 258 258 ς| ⊗ I 369 ) (I 147 ⊗ I 258 ⊗ UT n 369 ) , ] denotes the unitary operator to complete the JRSP process and T r 147,258 represents partial trace over particles trios (1,4,7) and (2,5,8). Thus, using equation (9), the density matrix of the output state (in the basis 369) becomes…”

Section: Jrsp In Amplitude-damping Environmentmentioning

confidence: 99%

“…After the first proposed RSP protocol, there have been several proposed RSP protocols from many researchers ( [7,8] and references therein). Remote simulation of any single-particle measurement on an arbitrary qubit using one ebit of shared entanglement and communication of one cbit, has been achieved in reference [9].…”

Section: Introductionmentioning

confidence: 99%

“…where particles trios (1, 4, 7), (2,5,8) and (3,6,9) belong to Alice, Bob and Chika respectively. Now Alice and Bob perform projective measurements on their respective particles trios (1, 4, 7) and (2,5,8) in order to remotely prepare original state for Chika.…”

Section: Introductionmentioning

confidence: 99%

“…Now Alice and Bob perform projective measurements on their respective particles trios (1, 4, 7) and (2,5,8) in order to remotely prepare original state for Chika. For these measurements to be achieved, Alice chooses a set of mutually orthogonal basic vector {|̺ 147 n , n = 1 − 8} which are related to computational basis vector {|000 , |001 , |010 , |011 , |100 , |101 , |110 , |111 } as follows …”

Section: Introductionmentioning

confidence: 99%

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JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

Falaye

Sun

Camacho-Nieto

et al. 2016

Int. J. Quantum Inform.

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We present a scheme for joint remote state preparation (JRSP) of three-particle state via three tripartite Greenberger-Horne-Zeilinger (GHZ) entangled states as the quantum channel linking the parties. We use eight-qubit mutually orthogonal basis vector as measurement point of departure. The likelihood of success for this scheme has been found to be 1/8. However, by putting some special cases into consideration, the chances can be ameliorated to 1/4 and 1. The effects of amplitude-damping noise, phase-damping noise and depolarizing noise on this scheme have been scrutinized and the analytical derivations of fidelities for the quantum noisy channels have been presented. We found that for 0.55 ≤ η ≤ 1, the states conveyed through depolarizing channel lose more information than phase-damping channel while the information loss through amplitude damping channel is most minimal. Keywords IntroductionWhen a pair of particles is generated such that the quantum state of each particle cannot be elucidated independently, we referred to them as being entangled. One of the effortless ways to create entanglement is using a very powerful laser along with some very special crystals in order to entangle pair of photons which are the smallest unit of light. Experimental realization of quantum entanglement has been achieved and presented more elaborately in reference [1]. Quantum entanglement represents basic ingredient in quantum information processing. In fact, quantum entanglement 1 E-mail: fbjames11@physicist.net; babatunde.falaye@fulafia.edu.ng 2 E-mail: sunghdb@yahoo.com 3 E-mail: ocamacho@ipn.mx 4 E-mail: dongsh2@yahoo.com 1 lies in the heart of many quantum devices that are actively been developed. Entanglement has been found resourceful in quantum state sharing [2]. Information stored in quantum system can be teleported from one location to the other with the aid of shared entangled state [3]. Some other processes that exploit quantum entanglement include quantum dense coding [4], quantum secure direct communication [5] and remote state preparation (RSP) [6].The quantum teleportation can be described as a process by which quantum information is being transmitted from one location to another, with the aid of classical communication and erstwhile shared quantum entanglement between the sending and receiving location. In quantum teleportation, the sender has a particle of unknown state. Whereas, in RSP, the sender does not own the particle

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Section: Jrsp In Amplitude-damping Environmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

Falaye

Sun

Camacho-Nieto

et al. 2016

Int. J. Quantum Inform.

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show abstract

“…However, with states of a generic set considered, the cost in RSP is equal to that in QT [5,7]. The research of RSP has been a popular direction in quantum communications, including joint remote state preparation (JRSP) protocols [8][9][10], controlled remote state preparation (CRSP) protocols [11][12][13] and deterministic remote state preparation (DRSP) protocols [14,15]. There have also been experimental studies of RSP [16,17], they can be applied to some encryption schemes [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State

Chen

Dou

et al. 2016

Entropy

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Abstract:In this paper, our concern is to design some criteria for deterministic remote state preparation for preparing an arbitrary three-particle state via a genuinely entangled six-qubit state. First, we put forward two schemes in both the real and complex Hilbert space, respectively. Using an appropriate set of eight-qubit measurement basis, the remote three-qubit preparation is completed with unit success probability. Departing from previous research, our protocol has a salient feature in that the serviceable measurement basis only contains the initial coefficients and their conjugate values. By utilizing the permutation group, it is convenient to provide the permutation relationship between coefficients. Second, our ideas and methods can also be generalized to the situation of preparing an arbitrary N-particle state in complex case by taking advantage of Bell states as quantum resources. More importantly, criteria satisfied conditions for preparation with 100% success probability in complex Hilbert space is summarized. Third, the classical communication costs of our scheme are calculated to determine the classical recourses required. It is also worth mentioning that our protocol has higher efficiency and lower resource costs compared with the other papers.

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Joint Remote State Preparation of a Single-Atom Qubit State via a GHZ Entangled State

et al. 2017

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Deterministic remote two-qubit state preparation in dissipative environments

Cited by 26 publications

References 59 publications

JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

JRSP of three-particle state via three tripartite GHZ class in quantum noisy channels

Novel Criteria for Deterministic Remote State Preparation via the Entangled Six-Qubit State

Joint Remote State Preparation of a Single-Atom Qubit State via a GHZ Entangled State

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