6 papers
On Clifford hierarchy testing and near-extremizers of noncommutative uniformity norms
Zongbo, Bao, Jop Briët +3
We consider the problem of testing whether an unknown unitary is close to a specified level of the Clifford hierarchy. Bu, Gu, and Jaffe proposed a candidate tester for this task b…
Experimental Efficient Influence Sampling of Quantum Processes
Hao Zhan, Zongbo Bao, Zekun Ye +4
Characterizing quantum processes is essential for unlocking the potential of quantum devices. However, standard quantum process tomography is resource-intensive and becomes infeasi…
Efficient Non-Adaptive Quantum Algorithms for Tolerant Junta Testing
Zongbo Bao, Yuxuan Liu, Penghui Yao +2
We consider the problem of deciding whether an -qubit unitary (or -bit Boolean function) is -close to some -junta or -far from every -junt…
Clifford testing: algorithms and lower bounds
Marcel Hinsche, Zongbo Bao, Philippe van Dordrecht +3
We consider the problem of Clifford testing, which asks whether a black-box -qubit unitary is a Clifford unitary or at least -far from every Clifford unitary. We gi…
Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation
Zongbo Bao, Philippe van Dordrecht, Jonas Helsen
We prove a conjecture of Arunachalam & Dutt ([AD24]) on the existence of a tolerant stabilizer testing algorithm, and achieve an exponential improvement in the parameters of the te…
Hypercontractivity for Quantum Erasure Channels via Variable Multipartite Log-Sobolev Inequality
Zongbo Bao, Yangjing Dong, Fengning Ou +1
We prove an almost optimal hypercontractive inequality for products of quantum erasure channels, generalizing the hypercontractivity for classical binary erasure channels. To our k…