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Physical Review A

Robust state transfer in the quantum spin channel via weak measurement and quantum measurement reversal

Zhi He, Chunmei Yao, Jian Zou

Published Oct 31, 2013• 32 citations
Publisher

Abstract

Using the weak measurement (WM) and quantum measurement reversal (QMR) approach, robust state transfer and entanglement distribution can be realized in the spin-$\frac{1}{2}$ Heisenberg chain. We find that the ultrahigh fidelity and long distance of quantum state transfer with certain success probability can be obtained using proper WM and QMR, i.e., the average fidelity of a general pure state from $80%$ to almost $100%$, which is almost size independent. We also find that the distance and quality of entanglement distribution for the Bell state and the general Werner mixed state can be obviously improved by the WM and QMR approach.

DOI
10.1103/physreva.88.044304

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Using the weak measurement (WM) and quantum measurement reversal (QMR) approach, robust state transfer and entanglement distribution can be realized in the spin-12\frac{1}{2}21​ Heisenberg chain. We find that the ultrahigh fidelity and long distance of quantum state transfer with certain success probability can be obtained using proper WM and QMR, i.e., the average fidelity of a general pure state from 8080%80 to almost 100100%100, which is almost size independent. We also find that the distance and quality of entanglement distribution for the Bell state and the general Werner mixed state can be obviously improved by the WM and QMR approach.
The effect of weak measurement (WM) and quantum measurement reversal (QMR) on the entanglement transfer in two parallel Heisenberg spin chains is investigated. We find that the entanglement transfer can be enhanced by the WM and QMR control for different N ( N is the length of each spin chain) and m ( m denotes the m th spin pair). More interestingly, we also find that, in the thermodynamic limit where the so-called phase-shift control is invalid, the WM and QMR control is instead very effective. So this investigation indicates that the WM and QMR approach has potential applications in quantum information processing based on the spin chain.
Abstract We propose a novel scheme to realize perfect state transfer and entanglement distribution in the spin chain. With the assistance of environment-assisted measurement, we get the exact analytical expression of the optimal final restoration, show that the quantum state and distribution entanglement can exactly be recovered with a certain probability, i.e. the fidelity of a general pure state can reach 100%, which is independent of the size of the spin chain. Comparing with the results obtained by the method of weak measurement, our results show notable superiorities on restoration scope and success probability.
Abstract The effect of environment-assisted measurement and quantum measurement reversal on the entanglement transfer in two parallel Heisenberg spin chains is investigated. We derive the exact analytical expression of the optimal final restoration, show that the distribution entanglement could be restored to the initial value, which is independent of the size of the spin chain. Comparing with the results obtained by the method of weak measurement, our results show notable superiorities on restoration scope and success probability.
Abstract Using the non-Hermitian operation approach, robust state transfer and entanglement distribution can be realized in the quantum spin chain channel. We derive the exact analytical expressions of the quantum fidelity and entanglement and in detail investigate the influence of non-Hermitian operator parameters on the quantum fidelity and entanglement. Compared with pure decoherence process (without non-Hermitian operator process), we find that the non-Hermitian operator process can obvious enhance and preserve the quantum fidelity and entanglement.
This study presents an improved quantum teleportation protocol designed to enhance fidelity in noisy environments by combining weak measurements (WMs) with flip and reversal operations. In our scheme, Alice prepares a four-qubit entangled state and shares one of the entangled qubits with Bob, which serves as the quantum channel for teleporting an arbitrary single-qubit state. Since the communication channel is subject to noise, Alice performs a weak measurement on the shared qubit before transmission to reduce the impact of decoherence. Building upon existing WM-flipreversal frameworks, we propose a modified weak measurement and reversal (WMR) protocol tailored for different noises in a four-qubit entangled system. The approach applies WM and flip operations prior to transmission to enhance resilience against noise, followed by corresponding reversal operations after transmission to recover the original quantum state. We systematically compare the performance of our proposed WMR protocol with the previously proposed WM-flip-reversal method under three common noise models: amplitude damping channel (ADC), phase flip channel (PFC), and bit flip channel (BFC). Our analysis reveals that the modified WMR scheme achieves significantly higher teleportation fidelity and improved robustness, particularly in bit flip noise environments. These findings highlight the potential of optimized weak measurement strategies for developing more reliable and noise-tolerant quantum communication protocols
High-quality quantum-state and entanglement transfer can be achieved in an unmodulated spin bus operating in the ballistic regime, which occurs when the endpoint qubits A and B are nonperturbatively coupled to the chain by a suitable exchange interaction j 0 . Indeed, the transition amplitude characterizing the transfer quality exhibits a maximum for a finite optimal value j opt 0 ( N ), where N is the channel length. We show that j opt 0 ( N ) scales as N −1/6 for large N and that it ensures a high-quality entanglement transfer even in the limit of arbitrarily long channels, almost independently of the channel initialization. For instance, for any chain length the average quantum-state transmission fidelity exceeds 90% and decreases very little in a broad neighbourhood of j opt 0 ( N ). We emphasize that, taking the reverse point of view, should j 0 be experimentally constrained, high-quality transfer can still be obtained by adjusting the channel length to its optimal value.