Teleportation with Mixing State from Two Bell States Due to Qubit Confusion
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Teleportation with Mixing State from Two Bell States Due to Qubit Confusion Zhanjun Zhang1 · Chuanmei Xie2 · Biaoliang Ye3 Received: 12 May 2020 / Accepted: 13 August 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Shared quantum entanglements are rare resources and widely used in various quantum information processing. They are thought sometimes to be more important than local operation and classical communication. In this paper a shared mixing entangled state derived from a pair of Bell states due to participants’ qubit confusion is taken as quantum channel and a quantum teleportation scheme is amply put forward. It is shown that, the state can be used to teleport a single-qubit state with success probability 3/4 rather than discarded. More importantly, from it a Bell state can be derived with 1/2 probability so that whether the teleportation is further proceeded or not can be decided in advance. If not, the unknown state to be teleported will not be destroyed due to the measure. The additional costs in contrast to standard single-qubit state teleportation are two control-not gate operations, two single-qubit measures and a classical-bit message consumption. The underlying reason of abstracting a shared entanglement for quantum teleportation is revealed. Keywords Quantum teleportation · Mixing entangled state · Qubit confusion · Local operation and classical communication
1 Introduction Quantum entanglements are very important resources in quantum information processing. They have have been extensively explored and widely used to deal with various quantum tasks, such as quantum key distribution [1–4], quantum secure direct communication [5–9], quantum teleportation (QT) [10–14], quantum secret sharing [15–21], quantum operation sharing [22–32], remote state preparation [33–37], etc. Particularly, many multi-particle entanglement states, e.g., GHZ state [15, 21], W states [26, 27, 36], genuine states [38– 41], cluster states [24, 28, 42–44], Brown state [31, 45], and so on, are employed to design Zhanjun Zhang
[email protected] 1
School of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China
2
School of Physics and Materials Science, Anhui University, Hefei, 230039, China
3
Quantum Information Research Center, Shangrao Normal University, Shangrao, 334001, China
International Journal of Theoretical Physics
different quantum task schemes. In fact, generation of multi-particle entanglements is usually uneasy and their host-particle distribution among remote nodes in quantum networks is quite difficult either. Because of these, shared multi-particle entanglements as important quantum resources are even thought to be more important than local operation and classical communication sometimes. Therefore, they should be cherished and made use of as much as possible even if they encounter some disturbances. In this paper, we will consider a kind of problem, which is quite possible to occur in the intending quantum networks when
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