Detecting and quantifying entanglement on near-term quantum devices

Wang, Kun; Song, Zhixin; Zhao, Xuanqiang; Wang, Zihe; Wang, Xin

doi:10.1038/s41534-022-00556-w

Cited by 23 publications

(16 citation statements)

References 91 publications

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“…Recently, VQAs have been applied to estimate the entanglement of quantum states [26][27][28]. Among them, the variational determination of geometric entanglement (VDGE) [29] estimates the geometric measure of entanglement (GME) of pure multi-qubit quantum states |Ψ⟩.…”

Section: Introductionmentioning

confidence: 99%

Avoiding barren plateaus in the variational determination of geometric entanglement

Zambrano,

Muñoz-Moller,

Muñoz

et al. 2024

Quantum Sci. Technol.

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The barren plateau phenomenon is one of the main obstacles to implementing variational quantum algorithms in the current generation of quantum processors. Here, we introduce a method capable of avoiding the barren plateau phenomenon in the variational determination of the geometric measure of entanglement for a large number of qubits. The method is based on measuring compatible two-qubit local functions whose optimization allows for achieving a well-suited initial condition, from which a global function can be further optimized without encountering a barren plateau. We analytically demonstrate that the local functions can be efficiently estimated and optimized. Numerical simulations up to 18-qubit GHZ and W states demonstrate that the method converges to the exact value. In particular, the method allows for escaping from barren plateaus induced by hardware noise or global functions defined on high-dimensional systems. Numerical simulations with noise are in agreement with experiments carried out on IBM’s quantum processors for 7 qubits.

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Section: Introductionmentioning

confidence: 99%

Avoiding barren plateaus in the variational determination of geometric entanglement

Zambrano,

Muñoz-Moller,

Muñoz

et al. 2024

Quantum Sci. Technol.

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show abstract

“…Quantum entanglement is an important resource in quantum computers 1,2 , empowering the establishment of quantum supremacy 3,4 . The characterization and detection of quantum entanglement [5][6][7] in physical systems have been the primary concerns of quantum information and computation for decades. On the other hand, imperfect control of quantum systems in the noisy intermediate-scale quantum (NISQ) era may induce errors 8 into quantum circuits composed of unitary gates, which can be described by general quantum channels.…”

Section: Introductionmentioning

confidence: 99%

Noise effects on purity and quantum entanglement in terms of physical implementability

Guo

Yang

2023

npj Quantum Inf

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Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era. Standard analyses in quantum information and quantum computation use error rates to parameterize quantum noise channels. However, there is no explicit relation between the decoherence effect induced by a noise channel and its error rate. In this work, we propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse, which is a universal parameter quantifying the difficulty to simulate the noise inverse with accessible quantum channels. We establish two concise inequalities connecting the decrease of the state purity and logarithmic negativity after a noise channel to the physical implementability of the noise inverse, which is required to be decomposed as mutually orthogonal unitaries or product channels respectively. Our results are numerically demonstrated on several commonly adopted two-qubit noise models. We believe that these relations contribute to the theoretical research on the entanglement properties of noise channels and provide guiding principles for quantum circuit design.

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“…Quantum entanglement is an important resource in quantum computers [1,2], empowering the establishment of quantum supremacy [3,4]. The characterization and detection of quantum entanglement [5,6] in physical systems have been the primary concerns of quantum information and computation for decades. On the other hand, imperfect control of quantum systems in the noisy intermediate-scale quantum (NISQ) era may induce errors [7] into quantum circuits composed of unitary gates, which can be described by general quantum channels.…”

Section: Introductionmentioning

confidence: 99%

Noise effects on purity and quantum entanglement in terms of physical implementability

Yang

Guo²

2022

Preprint

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Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era. Standard analyses in quantum information and quantum computation use error rates to parameterize quantum noise channels. However, there is no explicit relation between the decoherence effect induced by a noise channel and its error rate. In this work, we propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse, which is a universal parameter quantifying the difficulty to simulate the noise inverse with accessible quantum channels. We establish two concise inequalities connecting the decrease of the state purity and logarithmic negativity after a noise channel to the physical implementability of the noise inverse. Our results are numerically demonstrated on several commonly adopted two- qubit noise models. We believe that these relations contribute to the theoretical research on the entanglement properties of noise channels and provide guiding principles for quantum circuit design.

show abstract

Detecting and quantifying entanglement on near-term quantum devices

Cited by 23 publications

References 91 publications

Avoiding barren plateaus in the variational determination of geometric entanglement

Avoiding barren plateaus in the variational determination of geometric entanglement

Noise effects on purity and quantum entanglement in terms of physical implementability

Noise effects on purity and quantum entanglement in terms of physical implementability

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