Qubit assisted Conclusive Teleportation
英文摘要:
We present an optimal method for teleporting an unknown qubit using any pure entangled state.
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Somshubhro Bandyopadhyay
We present an optimal method for teleporting an unknown qubit using any pure entangled state.
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In this work we show that teleportation is a special case of a generalized Einstein, Podolsky, Rosen (EPR) non-locality. Based on the connection between teleportation and generalized measurements we define conclusive teleportation. We show that perfect conclusive teleportation can be obtained with any pure entangled state, and it can be arbitrarily approached with a particular mixed state.
We formulate a conclusive teleportation protocol for a system in d-dimensional Hilbert space utilizing the positive operator valued measurement at the sending station. The conclusive teleportation protocol ensures some perfect teleportation events when the channel is only partially entangled, at the expense of lowering the overall average fidelity. We find the change of the fidelity as optimizing the conclusive teleportation events and discuss how much information remains in the inconclusive parts of the teleportation.
We present linear optical schemes to perform generalized measurements for conclusive teleportation when the sender and the receiver share nonmaximal entanglement resulting from amplitude errors during propagation or generation. Three different cases are considered for which the states to be teleported are unknown superpositions of (a) single-photon and vacuum states, (b) vertically-polarized and horizontally-polarized photon states, and (c) two coherent states of opposite phases. The generalized measurement scheme for each case is analyzed, which indicates that the success probability is much …
Quantum teleportation of qudits is revisited. In particular, we analyze the case where the quantum channel corresponds to a non-maximally entangled state and show that the success of the protocol is directly related to the problem of distinguishing non-orthogonal quantum states. The teleportation channel can be seen as a coherent superposition of two channels, one of them being a maximally entangled state thus, leading to perfect teleportation and the other, corresponding to a non-maximally entangled state living in a subspace of the d-dimensional Hilbert space. The second channel leads to a t…
We show two new aspects of teleportation based on generalized measurements: I. We present an alternative approach to teleportation based on ``generating $ρ$-ensembles at spacetime separation''; This approach provides a better understanding of teleportation. II. We define the concept of {\em conclusive teleportation} and we show how to teleport a quantum state using any pure entangled state; we show how to use the conclusive teleportation as a criterion for non-locality.
Quantum teleportation can be performed if and only if a message is combined with a maximally entangled state. Bennett et al. originally claimed this feasibility condition. In this paper, I give a proof of that condition. Moreover, I specify the condition for teleportation when a single-qubit message is combined with a three-qubit state distributed among three parties. I also consider the situation that a single-qubit message is combined with an $n$-qubit state distributed among $n$ parties.
We relate the principle of quantum-memory-assisted entropic uncertainty to quantum teleportation and show geometrically that any two-qubit state which lowers the upper bound of this uncertainty relation is useful for teleportation. We also explore the efficiency of this entropic uncertainty principle on witnessing entanglement in a general class of bosonic structured reservoirs. The entanglement regions witnessed by different estimates are determined, which may have no relation with the explicit form of the spectral density of the reservoir for certain special chosen sets of the initial states…
High-fidelity quantum teleportation through noisy channels via weak measurement and environment-assisted measurement
提出一种结合环境辅助测量与弱测量的量子隐形传态协议,在振幅阻尼信道中仅需单份纠缠态即可实现高达1的保真度,并在保真度与成功概率间取得平衡,优于原始及基于弱测量的概率隐形传态协议。
Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement
本文提出利用弱测量和环境辅助测量两种策略,增强相关振幅阻尼噪声下的qutrit隐形传态保真度,并发现噪声相关性可提高成功概率,EAM方案在保真度上优于WM方案。
Reliable entangling gates for qubits encoded in single-photon states represent a major challenge on the road to scalable quantum computing architectures based on linear optics. In this work, we present two approaches to develop high-fidelity, near-deterministic controlled-sign-shift gates based on the techniques of quantum gate teleportation. On the one hand, teleportation in a discrete-variable setting, i.e., for qubits, offers unit-fidelity operations but suffers from low success probabilities. Here, we apply recent results on advanced linear optical Bell measurements to reach a near-determi…
Assisted quantum teleportation
本文研究了通过非最大纠缠对进行量子 teleportation 时诱导的噪声通道问题,提出了一种辅助量子 teleportation 框架,通过第三方提供辅助多粒子纠缠来恢复完美贝尔对,并分析了第三方在不同操作模型中的作用,展示了 W 资源的操作不等价性以及有限次数概率恢复的最优成功概率。
Gate teleportation-assisted routing for quantum algorithms
针对 SWAP 路由导致电路深度增加的问题,本文提出利用空闲辅助量子比特构建门隐形传态路径,并设计连接选择算法,在重六边形等基准上实现 10–25% 的深度降低。
Environment-assisted and weak measurement strategies for robust bidirectional quantum teleportation
针对双向量子隐形传态易受退相干影响的问题,提出结合环境辅助测量与弱测量的保护方案,在振幅阻尼信道下实现了保真度与成功率的平衡,性能优于无保护方案。
Quantum repeaters are essential ingredients for quantum networks that link distant quantum modules such as quantum computers and sensors. Motivated by distributed quantum computing and communication, quantum repeaters that relay discrete-variable quantum information have been extensively studied; while continuous-variable (CV) quantum information underpins a variety of quantum sensing and communication application, a quantum-repeater architecture for genuine CV quantum information remains largely unexplored. This paper reports a CV quantum-repeater architecture based on CV quantum teleportatio…
Weak-measurement assisted quantum teleportation fidelity enhancement under noise
本研究提出一种结合弱测量与翻转/反转操作的改进量子隐形传态协议,在噪声环境中显著提升保真度,尤其对比特翻转噪声鲁棒性更强。
Protocols for probabilistic entanglement-assisted quantum teleportation and for entanglement swapping of material qubits are presented. They are based on a protocol for postselective Bell-state projection which is capable of projecting two material qubits onto a Bell state with the help of ancillary coherent multiphoton states and postselection by balanced homodyne photodetection. Provided this photonic postselection is successful we explore the theoretical possibilities of realizing unit fidelity quantum teleportation and entanglement swapping with $25\%$ success probability. This photon-assi…
Teleportation of quantum gates is a critical step for implementation of quantum networking and teleportation-based models of quantum computation. We report an experimental demonstration of teleportation of the prototypical quantum controlled-NOT (CNOT) gate. Assisted with linear optical manipulations, photon entanglement produced from parametric down conversion, and coincidence measurements, we teleport the quantum CNOT gate from acting on local qubits to acting on remote qubits. The quality of the quantum gate teleportation is characterized through the method of quantum process tomography, wi…
Quantum state transfer and teleportation, with qubits encoded in internal states of the atoms in cavities, among spatially separated nodes of a quantum network in decoherence-free subspace are proposed, based on a cavity-assisted interaction by single-photon pulses. We show in details the implementation of a logic-qubit Hadamard gate and a two-logic-qubit conditional gate, and discuss the experimental feasibility of our scheme.
The schemes proposed by S. Bose et al [Phys. Rev. Lett. 83, 5158 (1999)] and others for long distance atomic teleportation using cavity decay, gives message state dependent fidelity on successful attempt and in case of failure message state destroys. We propose a different scheme for teleportation of an atomic state from one cavity to a distant cavity by reflecting optical-pulse modes of an entangled coherent state (ECS) from single atom-cavity systems and detecting whether light is on or off. Unit success with unit fidelity is obtained for large mean photon number (|α|^2). For small |α|^2, ho…
We consider a single copy of a mixed state of two qubits and derive the optimal trace-preserving local operations assisted by classical communication (LOCC) such as to maximize the fidelity of teleportation that can be achieved with this state. These optimal local operations turn out to be implementable by one-way communication, and always yields a teleportation fidelity larger than 2/3 if the original state is entangled. This maximal achievable fidelity is an entanglement measure and turns out to quantify the minimal amount of mixing required to destroy the entanglement in a quantum state.
We study the continuous-variable (CV) quantum teleportation protocol in the case that one of the two modes of the shared entangled resource is sent to the receiver through a Gaussian Quantum Brownian Motion noisy channel. We show that if the channel is engineered in a non-Markovian regime, the information backflow from the environment induces an extra dependance of the phase of the two-mode squeezing of the shared Gaussian entangled resource on the transit time along the channel of the shared mode sent to the receiver. Optimizing over the non-Markovianity dependent phase of the squeezing yield…
Assisted with linear optical manipulation, single photon, entangled photon pairs, photon measurement, and classical communication, a scheme for two-spin qubits phase gate and teleportation of a CNOT gate between two electron spins from acting on local qubits to acting on remote qubits using quantum dots in optical microcavities is proposed. The scheme is based on spin selective photon reflection from the cavity and is achieved in a deterministic way by the sequential detection of photons and the single-qubit rotations of a single electron spin in a self-assembled GaAs/InAs quantum dot. The fea…
We propose a protocol where one can exploit dual quantum and classical channels to achieve perfect ``cloning'' and ``orthogonal-complementing'' of an unknown state with a minimal assistance from a state preparer (without revealing what the input state is). The first stage of the protocol requires usual teleportation and in the second stage, the preparer disentangles the left-over entangled states by a single particle measurement process and communicates a number of classical bits (1-cbit per copy) to different parties so that perfect copies and complement copies are produced. We discuss our pr…
Quantum teleportation [1] is a quintessential prerequisite of many quantum information processing protocols [2-4]. By using quantum teleportation, one can circumvent the no-cloning theorem [5] and faithfully transfer unknown quantum states to a party whose location is even unknown over arbitrary distances. Ever since the first experimental demonstrations of quantum teleportation of independent qubits [6] and of squeezed states [7], researchers have progressively extended the communication distance in teleportation, usually without active feed-forward of the classical Bell-state measurement res…
Quantum teleportation of an elemental silicon nanophotonic CNOT gate
研究首次在硅纳米光子芯片上实验演示了CNOT门的量子隐形传态,利用局域操作与共享纠缠实现了非局域量子门,各项保真度均超83%,为大规模分布式量子计算提供了可扩展路径。
Quantum teleportation provides a "disembodied" way to transfer quantum states from one object to another at a distant location, assisted by priorly shared entangled states and a classical communication channel. In addition to its fundamental interest, teleportation has been recognized as an important element in long-distance quantum communication, distributed quantum networks and measurement-based quantum computation. There have been numerous demonstrations of teleportation in different physical systems such as photons, atoms, ions, electrons, and superconducting circuits. Yet, all the previou…
Quantum teleportation with dissimilar quantum dots over a hybrid quantum network
本文通过光-物质相互作用、多轴应变和磁场工程调控异质量子点,在光纤与270米自由空间链路构成的混合量子网络中演示了保真度达82±1%的全光子量子隐形传态,为实用量子网络奠定基础。
Entanglement catalysis for quantum states and noisy channels
本工作研究了纠缠催化在量子通信中的作用,证明了双方纯态变换中通用催化剂的存在,并开发了有噪量子信道辅助下估计单重态数量的方法,导出了单次使用信道建立最大单重态的最优协议。
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