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20092023
most citedMultiqubit Clifford groups are unitary 3-designs

181 citations · 2.5k across the 63 of their papers we have counts for

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Showing 2016Show all

6 papers · 1 filter

cs.IT2016★ 14 cited

Low rank matrix recovery from Clifford orbits

Richard Kueng, Huangjun Zhu, David Gross

We prove that low-rank matrices can be recovered efficiently from a small number of measurements that are sampled from orbits of a certain matrix group. As a special case, our theo…

quant-ph2016★ 13 cited

Distinguishing quantum states using Clifford orbits

Richard Kueng, Huangjun Zhu, David Gross

It is a fundamental property of quantum mechanics that information is lost as a result of performing measurements. Indeed, with every quantum measurement one can associate a number…

quant-ph2016★ 56 cited

The Clifford group fails gracefully to be a unitary 4-design

Huangjun Zhu, Richard Kueng, Markus Grassl +1

A unitary t-design is a set of unitaries that is "evenly distributed" in the sense that the average of any t-th order polynomial over the design equals the average over the entire…

quant-ph2016★ 50 cited

Quasiprobability representations of quantum mechanics with minimal negativity

Huangjun Zhu

Quasiprobability representations, such as the Wigner function, play an important role in various research areas. The inevitable appearance of negativity in such representations is…

quant-ph2016★ 57 cited

Steering Bell-diagonal states

Quan Quan, Huangjun Zhu, Si-Yuan Liu +3

We investigate the steerability of two-qubit Bell-diagonal states under projective measurements by the steering party. In the simplest nontrivial scenario of two projective measure…

quant-ph2016★ 20 cited

Einstein-Podolsky-Rosen correlations and Bell correlations in the simplest scenario

Quan Quan, Huangjun Zhu, Heng Fan +1

Einstein-Podolsky-Rosen (EPR) steering is an intermediate type of quantum nonlocality which sits between entanglement and Bell nonlocality. A set of correlations is Bell nonlocal i…