Modern compressive tomography for quantum information science

Teo, Yong Siah; Sánchez-Soto, Luis L.

doi:10.1142/s0219749921400037

Cited by 8 publications

(1 citation statement)

References 79 publications

(109 reference statements)

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“…Owing to noise accompanying any NISQ device, the output state of its circuit will deviate from the target state of interest to the computation procedure. Without resorting to quantum tomography [50][51][52][53][54] for certifying the circuit output quality, the techniques of error mitigation may be considered as alternatives to directly reduce errors due to noise channels. The names of specific error-mitigation procedures have grown rapidly in recent years, which makes it implausible to cite them all.…”

Section: Introductionmentioning

confidence: 99%

Virtual distillation with noise dilution

Teo¹,

Shin²,

Hyukgun³

et al. 2022

Preprint

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Virtual distillation is an error-mitigation technique that reduces quantum-computation errors without assuming the noise type. In scenarios where the user of a quantum circuit is required to additionally employ peripherals, such as delay lines, that introduce excess noise, we find that the errormitigation performance can be improved if the peripheral, whenever possible, is split across the entire circuit; that is, when the noise channel is uniformly distributed in layers within the circuit. We show that under the multiqubit loss and Pauli noise channels respectively, for a given overall error rate, the average mitigation performance improves monotonically as the noisy peripheral is split (diluted) into more layers, with each layer sandwiched between subcircuits that are sufficiently deep to behave as two-designs. For both channels, analytical and numerical evidence show that second-order distillation is generally sufficient for (near-)optimal mitigation. We propose an application of these findings in designing a quantum-computing cluster that houses realistic noisy intermediate-scale quantum circuits that may be shallow in depth, where measurement detectors are limited and delay lines are necessary to queue output qubits from multiple circuits.

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Section: Introductionmentioning

confidence: 99%

Virtual distillation with noise dilution

Teo¹,

Shin²,

Hyukgun³

et al. 2022

Preprint

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Quantum polarimetry

Goldberg

2022

Progress in Optics

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Absolutely k -incoherent quantum states and spectral inequalities for the factor width of a matrix

et al. 2022

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A matrix is said to have factor width at most k if it can be written as a sum of positive semidefinite matrices that are non-zero only in a single k ˆk principal submatrix. We explore the "factor-width-k rank" of a matrix, which is the minimum number of rank-1 matrices that can be used in such a factorwidth-at-most-k decomposition. We show that the factor width rank of a banded or arrowhead matrix equals its usual rank, but for other matrices they can differ. We also establish several bounds on the factor width rank of a matrix, including a tight connection between factor-width-k rank and the k-clique covering number of a graph, and we discuss how the factor width and factor width rank change when taking Hadamard products and Hadamard powers.

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Modern compressive tomography for quantum information science

Cited by 8 publications

References 79 publications

Virtual distillation with noise dilution

Virtual distillation with noise dilution

Quantum polarimetry

Absolutely k -incoherent quantum states and spectral inequalities for the factor width of a matrix

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