arXiv:1902.03403 · International Journal of Quantum Information

High success perfect transmission of 1-qubit information using purposefully delayed sharing of non-maximally entangled 2-qubit resource and repeated generalized Bell-state measurements

Shamiya Javed, Ranjana Prakash, Hari Prakash

Published Mar 1, 2021• 4 citations

Abstract

We propose a new scheme in which perfect transmission of 1-qubit information is achieved with high success using purposefully delayed sharing of non-maximally entangled 2-qubit resource and repeated generalized Bell-state measurements (GBSM). Alice possesses initially all qubits and she makes repeated GBSM on the pair of qubits, consisting of (1) the qubit of information state and (2) one of the two entangled resource qubits (taken alternately) until transmission with perfect fidelity is indicated. Alice then sends to Bob, the qubit not used in the last GBSM and also the result of this GBSM and Bob applies a suitable unitary transformation to replicate exactly the information state. Continued probabilistic transmission with unit fidelity is achieved by changing continuously the generalized Bell basis and also the pair of measured qubits of the collapsed states. We calculate the success probability up to the third repeated attempt of GBSM and plot it with concurrence of the entangled resource state. We also discuss the maximal average fidelity.

DOI: 10.1142/s0219749921500155

Related papers

Improved Probabilistic Quantum Teleportation By Repeated Generalized Bell State Measurement

Shamiya Javed, Ranjana Prakash, Hari Prakash

We propose a scheme of probabilistic quantum teleportation (PQT) in which Alice possesses both qubits of the entangled resource and makes repeated generalized Bell state measurement (GBSM) on the pair of qubits, consisting of (1) the qubit of information state and (2) one of the two entangled resource qubits (taken alternately) until quantum teleportation (QT) with perfect fidelity is indicated. Alice then sends to Bob, the qubit not used for last GBSM and also the result of this GBSM and Bob applies a suitable unitary transformation to replicate exactly the information state. We calculate the success probability upto 3rd repeated attempt of GBSM and plot it with concurrence of the entangled resource state.

Feb 9, 20190 citations

Perfect Controlled Multi-Output Teleportation of Single-Qubit States via a High-Dimensional Partially Entangled Channel

Nueraminaimu Maihemuti, Yimamujiang Aisan, Peng Jia-yin +1 more

In practical quantum communication, quantum channels are inevitably affected by noise and decoherence, leading to their degradation into non-maximally entangled or even mixed states. As a result, conventional quantum teleportation schemes based on non-maximally entangled channels are inherently probabilistic and cannot simultaneously achieve unit fidelity and unit success probability. To address this issue, we exploit the structural degrees of freedom of high-dimensional partially entangled channels and construct an asymmetric joint measurement basis matched to the Schmidt-coefficient distribution of the channel, thereby proposing a controlled multi-output perfect quantum teleportation scheme. First, based on a three-dimensional partially entangled five-qutrit channel, a controlled two-output teleportation model for unknown single-qubit states is established. Perfect transmission with both unit fidelity and unit success probability is achieved through the controller’s projective measurement, the sender’s asymmetric joint measurement, and the receivers’ corresponding local recovery operations. On this basis, the scheme is generalized to arbitrary d-dimensional partially entangled channels and further extended from the two-output configuration to the multi-output scenario. Our analysis shows that, when the two largest Schmidt coefficients of the channel are equal, deterministic perfect teleportation with both unit fidelity and unit success probability can still be achieved using non-maximally entangled resources. The proposed scheme is more consistent with realistic quantum communication environments and provides a theoretical foundation for efficient and controllable quantum information distribution in complex quantum networks.

EntropyJun 8, 20260 citations

GENERALIZED QUANTUM TWO-QUBIT STATE SHARING VIA POSITIVE OPERATOR-VALUED MEASURE

Zhang-Yin Wang, Xingqiang Yang

By using a proper positive operator-valued measure (POVM), we present a new scheme for probabilistically implementing quantum state sharing of an arbitrary unknown two-qubit state with two non-maximally entangled three-qubit states. In this paper, the sender Alice averagely partitions its unknown original state with two Bell-state measurements and publishes her measurement results via a classical channel. Then by performing a proper POVM, it is shown that either of the two agents Bob or Charlie can recover the original state in a probabilistic manner provided that he/she gets another one's help. Lastly, we concisely generalize the tripartite scheme to a multi-party case.

International Journal of Quantum InformationFeb 1, 20114 citations

An Efficient Scheme for Multiparty Multi-particle State Sharing

Shi Run-Hua, Liusheng Huang, Yang Wei +1 more

We present an efficient scheme for sharing an arbitrary m-qubit state with n agents. In our scheme, the sender Alice first shares m Bell states with the agent Bob, who is designated to recover the original m-qubit state. Furthermore, Alice introduces n − 1 auxiliary particles in the initial state |0⟩, applies Hadamard (H) gate and Controlled-Not (CNOT) gate operations on the particles, which make them entangled with one of m particle pairs in Bell states, and then sends them to the controllers (i.e., other n − 1 agents), where each controller only holds one particle in hand. After Alice performing m Bell-basis measurements and each controller a single-particle measurement, the recover Bob can obtain the original unknown quantum state by applying the corresponding local unitary operations on his particles. Its intrinsic efficiency for qubits approaches 100%, and the total efficiency really approaches the maximal value.

Communications in Theoretical PhysicsJul 1, 20102 citations

QUANTUM TELEPORTATION OF AN ARBITRARY N-QUBIT STATE VIA NON-MAXIMALLY ENTANGLED STATE

Liu Yu-Ling, Zhong‐Xiao Man, Yun‐Jie Xia

We explicitly present two schemes for quantum teleportation of an arbitrary N-qubit entangled state using, respectively, non-maximally entangled Bell states and GHZ states as the quantum channels, and generalized Bell states as the measurement basis. The scheme succeeds with unit fidelity but less than unit probability. By introducing additional qubit and unitary operations, the success probability of these two schemes can be increased.

International Journal of Quantum InformationOct 1, 200713 citations

Quantum Information Splitting by Using a Genuinely Entangled Six-qubit State and Bell-state Measurements

李渊华 Li Yuan-hua, 刘俊昌 Liu Jun-chang, 聂义友 Nie Yi-you

Through introducing the new application of a genuinely entangled six-qubit state,quantum information splitting of an arbitrary two-qubit state was investigated.For the quantum information splitting,a genuinely entangled six-qubit state was shared by a sender(Alice),a controller(Charlie) and a receiver(Bob).The sender firstly performed twice Bell-state measurements,and then the controller made a Bell-state measurement.Finally the receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knew the measured results of both the sender and the controller.This quantum information splitting scheme is deterministic,i.e.the probability of success is 100%.In comparison with the quantum information splitting scheme using the same quantum channel the sender and the controller only need to perform Bell-state measurements,not joint multi-qubit measurement,which makes this scheme simpler and easier,and can be fulfilled based on present experimental technology.

ACTA PHOTONICA SINICAJan 1, 20113 citations