Enhancing and expanding remote photonic entanglement via local filtering operations

Xing, Hai‐Bo; Yang, Ming; Dong, Peng; Fang, Shu-Dong; Cao, Zhuo‐Liang

doi:10.1016/j.optcom.2014.01.083

Cited by 4 publications

(4 citation statements)

References 33 publications

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“…Refs. [] showed that it is also possible to enhance the entanglement via local filtering operations on each mixed entangled state in each operation round, which is called entanglement distillation. So, in this subsection, the contribution of entanglement distillation to quantum metrology will be studied.…”

Section: Manipulation Of the Probe States And Its Qfimentioning

confidence: 99%

“…To circumvent the effects of environmental noises on the quantum properties of quantum states, several methods have been proposed, such as quantum error correction (QEC), quantum state purification, entanglement concentration, entanglement distillation, and quantum state protection etc. So, these methods may help us to enhance the QFI of the noisy probe states.…”

Section: Introductionmentioning

confidence: 99%

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Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

et al. 2019

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In quantum metrology, the precision of unknown parameter estimation is studied in the quantum regime, and the choice of the probe state plays an important role in determining the precision of the parameter to be estimated. The quality of quantum metrology will be reduced in the presence of quantum noise during the memory time of probe states after preparation. Meanwhile the noisy probe state can be manipulated by different protocols such as single-qubit purification, entanglement purification, and entanglement distillation etc. In this paper, the effects of these manipulations on the usefulness, that is, quantum Fisher information (QFI), of the noisy probe state in quantum metrology are studied. The results show that joint operations in single-qubit purification and entanglement purification processes play positive roles in enhancing the QFI of the probe states, and local measurements in entanglement purification and entanglement distillation processes play both positive and negative roles in enhancing the QFI of the probe states. In this sense, single-qubit purification will always be helpful in parameter estimation by using single qubits as probe, and entanglement purification process maybe more suitable for improving the estimation precision when entangled-state probe is adopted.

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Section: Manipulation Of the Probe States And Its Qfimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

et al. 2019

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“…In addition, the purification of a single copy of a partially entangled state using local operations has attracted significant interest as a complement to resource-intensive entanglement distillation protocols [15][16][17][18][19][20][21][22]. Specifically, in [21], the so-called Procrustean method utilizes partial-collapse weak measurements to extract a maximally entangled state from a partially entangled pure state.…”

Section: Introductionmentioning

confidence: 99%

Efficient entanglement enhancement of partially entangled pairs

Harraz,

Cong

2024

Phys. Scr.

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We present a comprehensive approach to transform a partially entangled pure state into a maximally entangled state, utilizing only local operations and a single copy of the entangled state. Our approach eliminates the need for multiple copies of entangled states, bilateral operations, and the time-consuming partial-collapse weak measurements. Integrating ancilla qubits, rotation gates, and CNOT gates, we simplify the process of enhancing entanglement, achieving significant efficiency using only a single partially entangled state. Assuming perfect local operations, we showcase the efficacy of our method through both mathematical analysis and the practical implementation of the corresponding circuit in Qiskit. Furthermore, we explore the impact of imperfect local operations, specifically focusing on the CNOT gate and measurement, for a comprehensive analysis. Additionally, we address the case of unknown parameters in the partially entangled pure state and introduce a robust method to effectively handle this uncertainty, ensuring reliable entanglement fidelity optimization in practical situations. We extend our investigation to the application of our method to mixed initial entangled states. Our results demonstrate the reliability of our method in increasing entanglement even in the presence of phase damping and amplitude damping. Additionally, we illustrate its effectiveness in transforming specific mixed initial states in the presence of depolarization into states with enhanced entanglement.

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“…Recently, purification of a single-copy entangled mixed state by local filtering operations has attracted considerable interest 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 , due to the fact that it does not involve multiparticle collective operations on multiple copies of source states and thus may reduce the experimental difficulty, as well as can act as a complement to entanglement distillation. The null-result weak measurement (NRWM, a local filtering operation) 40 is widely used to enhance the entanglement of various decohered states in amplitude-damping (AD) or generalized AD environments 20 21 22 23 24 25 26 27 28 .…”

mentioning

confidence: 99%

Effect of weak measurement on entanglement distribution over noisy channels

Wang

Zhang

et al. 2016

Sci Rep

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Being able to implement effective entanglement distribution in noisy environments is a key step towards practical quantum communication, and long-term efforts have been made on the development of it. Recently, it has been found that the null-result weak measurement (NRWM) can be used to enhance probabilistically the entanglement of a single copy of amplitude-damped entangled state. This paper investigates remote distributions of bipartite and multipartite entangled states in the amplitudedamping environment by combining NRWMs and entanglement distillation protocols (EDPs). We show that the NRWM has no positive effect on the distribution of bipartite maximally entangled states and multipartite Greenberger-Horne-Zeilinger states, although it is able to increase the amount of entanglement of each source state (noisy entangled state) of EDPs with a certain probability. However, we find that the NRWM would contribute to remote distributions of multipartite W states. We demonstrate that the NRWM can not only reduce the fidelity thresholds for distillability of decohered W states, but also raise the distillation efficiencies of W states. Our results suggest a new idea for quantifying the ability of a local filtering operation in protecting entanglement from decoherence.

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Enhancing and expanding remote photonic entanglement via local filtering operations

Cited by 4 publications

References 33 publications

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

Improving Quantum Metrology via Purifying and Distilling Noisy Probe States

Efficient entanglement enhancement of partially entangled pairs

Effect of weak measurement on entanglement distribution over noisy channels

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