Joint remote state preparation of an arbitrary multi-qudit state in a chain network

Gong, Renzhi; Wei, Yuzheng; Xue, Shibei; Jiang, Min

doi:10.1007/s11128-022-03678-4

Cited by 13 publications

(4 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since Victor knows the original state |ϕ 1 completely, he first performs a single-qudit positive operatorvalued measurement (POVM) on his qudit 1 according to his knowledge of the original state. The measurement operators for POVM [4,10,47,51] are written as…”

Section: Quantum Assisted Cloning Via a Maximally Entangled Statementioning

confidence: 99%

“…In the past thirty years, the principles of quantum mechanics have had many interesting applications in the ongoing field of information science, such as quantum cryptography [1], quantum teleportation (QT) [2][3][4][5], quantum key distribution [6][7], remote state preparation (RSP) [8][9][10][11], quantum secret sharing [12][13][14][15][16][17], quantum cloning (QC) [18][19][20], quantum remote information concentration [21][22][23], and so on. For example, QT is one of the most profound achievements of quantum information theory, which involves the disembodied transmission of quantum states between subsystems through classical communication channel requiring a shared resource of entanglement.…”

Section: Introductionmentioning

confidence: 99%

“…Gong et ai. [10] develop a new strategy for joint RSP of an arbitrary multi-qudit state in a chain network. Li et al [52] suggested an efficient symmetric multiparty quantum state sharing scheme of an arbitrary m-qudit state.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Assisted cloning of an arbitrary unknown d-dimension state

Zhai,

Peng,

Maihemuti

et al. 2023

Preprint

View full text Add to dashboard Cite

The purpose of this article is to further investigate the assisted cloning of a d-dimensional arbitrary unknown state by utilizing quantum teleportation (QT) and remote state preparation (RST) techniques. We first propose a scheme for cloning an arbitrary unknown single-qudit state with assistance from a state preparer. In this scheme, the maximally and non-maximally bipartite d-dimensional states are used as quantum channels, respectively. In the first stage of scheme requires usual QT and in the second stage, the state preparer disentangles the left over entangled states by introducing one auxiliary qudit and performing a generalized CNOT, a single-qudit positive operator-valued measurement (POVM) and a single-qudit projective measurement process and conveys some classical messages to different parties so that a copy is produced probabilistically with the unit fidelity.Then by replacing the maximally or non-maximally bipartite d-dimensional entangled channel with a sequence of maximally or non-maximally bipartite d-dimensional entangled states as quantum channel, we can extend the above scheme to the case of cloning a d-dimensional arbitrary unknown m-qudit state with the unit fidelity and a certain probability in the help of the state preparer. PACS numbers 03.67.Hk, 03.67.-a, 03.65.Bz

show abstract

Section: Quantum Assisted Cloning Via a Maximally Entangled Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Assisted cloning of an arbitrary unknown d-dimension state

Zhai,

Peng,

Maihemuti

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Therefore, RSP schemes consume less qubit resources. So far, RSP has gained extensive interest and research, such as deterministic RSP (DRSP), [12,13] joint RSP (JRSP), [14][15][16][17][18] controlled RSP (CRSP), [19][20][21][22][23][24][25] and continuous variable RSP. [26,27] Several RSP programs have been experimentally implemented in linear optical systems, [28] cavity QED, [29][30][31] and nuclear magnetic resonance systems.…”

Section: Introductionmentioning

confidence: 99%

Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

et al. 2023

View full text Add to dashboard Cite

We investigate the influence of noisy environment on the remote preparation of the multi-qubit equatorial state, and specifically deduce the final states and fidelities of the remote preparation of the three-qubit and four-qubit equatorial states under diverse types of noisy environment, namely amplitude damping, bit flip, phase damping, phase flip, bit-phase flip, depolarization and non-Markov environments. The results show that when the decoherence factors of the front six noise are equal, the influence degrees of phase damped noise, bit flip noise, phase flip noise and bit-phase flip noise are similar, while the information loss caused by amplitude damped noise and depolarizing noise is less. In particular, the bit flip noise and depolarizing noise may have more complex effects on the remote state preparation (RSP) schemes depending on the phase information of target states, even the ideal cases that the fidelity values are always 1 for specific phase relations. In the non-Markov environment, owing to the back and forth of information between the environment and systems, fidelities exhibit oscillating behavior and the minimum value may stay greater than zero for a long evolutionary time. These results are expected to have potential applications for understanding and avoiding the influence of noise on remote quantum communication and quantum networks.

show abstract