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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
International Journal of Quantum Information ( IF 1.2 ) Pub Date : 2021-05-11 , DOI: 10.1142/s0219749921500155
Shamiya Javed 1 , Ranjana Prakash 1 , Hari Prakash 1
Affiliation  

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.

中文翻译:

使用有目的地延迟共享非最大纠缠的 2 量子比特资源和重复的广义贝尔态测量,成功地完美传输 1 量子比特信息

我们提出了一种新方案,其中使用有目的地延迟共享非最大纠缠 2-qubit 资源和重复的广义贝尔态测量 (GBSM),成功地实现了 1-qubit 信息的完美传输。爱丽丝最初拥有所有量子位,她在这对量子位上重复 GBSM,包括 (1) 信息状态的量子位和 (2) 两个纠缠资源量子位之一(交替获取),直到指示以完美保真度传输。Alice 然后将最后一个 GBSM 中未使用的量子比特以及此 GBSM 的结果发送给 Bob,Bob 应用合适的酉变换来准确复制信息状态。通过不断改变广义贝尔基以及坍缩状态的测量量子比特对,实现具有单位保真度的连续概率传输。我们计算 GBSM 第三次重复尝试的成功概率,并将其与纠缠资源状态同时绘制。我们还讨论了最大平均保真度。
更新日期:2021-05-11
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