Estimate distillable entanglement and quantum capacity by squeezing
useless entanglement
- URL: http://arxiv.org/abs/2303.07228v3
- Date: Mon, 28 Aug 2023 16:15:54 GMT
- Title: Estimate distillable entanglement and quantum capacity by squeezing
useless entanglement
- Authors: Chengkai Zhu, Chenghong Zhu, Xin Wang
- Abstract summary: entanglement distillation plays a pivotal role in realizing the full potential of the quantum internet.
It remains challenging to accurately estimate the distillable entanglement and its closely related essential quantity, the quantum capacity.
We propose methods for evaluating both quantities by squeezing out useless entanglement within a state or a quantum channel.
- Score: 5.7169366634489895
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum Internet relies on quantum entanglement as a fundamental resource for
secure and efficient quantum communication, reshaping data transmission. In
this context, entanglement distillation emerges as a crucial process that plays
a pivotal role in realizing the full potential of the quantum internet.
Nevertheless, it remains challenging to accurately estimate the distillable
entanglement and its closely related essential quantity, the quantum capacity.
In this work, we consider a general resource measure known as the reverse
divergence of resources which quantifies the minimum divergence between a
target state and the set of free states. Leveraging this measure, we propose
methods for evaluating both quantities by squeezing out useless entanglement
within a state or a quantum channel, whose contributions are expected to be
ignored for the distillable entanglement or the quantum capacity, respectively.
Our method has practical applications for purifying maximally entangled states
under practical noises, such as depolarizing and amplitude damping noises,
leading to improvements in estimating the one-way distillable entanglement.
Furthermore, we provide valuable benchmarks for evaluating the quantum
capacities of qubit quantum channels, including the Pauli channels and the
random mixed unitary channels.
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