2022
DOI: 10.48550/arxiv.2203.13771
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Investigating the effect of noise channels on the quality of unitary t-designs

Abstract: Unitary t-designs have a wide variety of applications in quantum information theory, such as quantum data encryption and randomised benchmarking. However, experimental realisations of t-designs are subject to noise. Here we investigate the effect of noise channels on the quality of single-qubit t-designs. The noise channels we study are bit flips, phase flips, bit and phase flips, phase damping, amplitude damping and depolarising noise. We consider two noise models: the first has noise applied before the t-des… Show more

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Cited by 2 publications
(2 citation statements)
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“…Randomised benchmarking relies heavily on a unitary 2-design's ability to transform an arbitrary noise channel into a depolarising channel [29,30,38], a property which was studied extensively in our previous work [71]. In interleaved randomised benchmarking, two experiments are performed, namely an experiment to determine the reference depolarising noise parameter p ref and an experiment to determine the interleaved depolarising noise parameter p int .…”
Section: Interleaved Randomised Benchmarkingmentioning
confidence: 99%
“…Randomised benchmarking relies heavily on a unitary 2-design's ability to transform an arbitrary noise channel into a depolarising channel [29,30,38], a property which was studied extensively in our previous work [71]. In interleaved randomised benchmarking, two experiments are performed, namely an experiment to determine the reference depolarising noise parameter p ref and an experiment to determine the interleaved depolarising noise parameter p int .…”
Section: Interleaved Randomised Benchmarkingmentioning
confidence: 99%
“…Randomised benchmarking relies heavily on a unitary 2-design's ability to transform an arbitrary noise channel into a depolarising channel [29,30,38], a property which was studied extensively in our previous work [69]. In interleaved randomised benchmarking, two experiments are performed, namely an experiment to determine the reference depolarising noise parameter p ref and an experiment to determine the interleaved depolarising noise parameter p int .…”
Section: Interleaved Randomised Benchmarkingmentioning
confidence: 99%