Noise effects on purity and quantum entanglement in terms of physical
implementability
- URL: http://arxiv.org/abs/2207.01403v3
- Date: Wed, 4 Jan 2023 03:55:27 GMT
- Title: Noise effects on purity and quantum entanglement in terms of physical
implementability
- Authors: Yuchen Guo, Shuo Yang
- Abstract summary: 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.
We propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse.
- Score: 27.426057220671336
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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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