11 papers
A Dichotomy for MIP* in the Presence of Unital Noise
Yangjing Dong, Zhenyu Jiang, Minglong Qin +2
A recent work studied quantum two-prover one-round proof systems . It showed that when is a noisy EPR state with quantum maximal correlation $…
A Tale of Two Walks: Kipnis, Marchioro and Presutti Meet Kac in a Quantum World
Qian Chen, Jingcheng Liu, Minglong Qin +4
We reveal an unexpected connection between the parallel Kac's walk and the Kipnis-Marchioro-Presutti (KMP) process. The twirling channel induced by the parallel Kac's walk on the s…
Rapid Mixing of Parallel Kac's Walk: From Spheres to Stiefel Manifolds
Qian Chen, Minglong Qin, Fang Song +2
Kac's walk is a classical local random walk whose action on a single real unit vector in dimension mixes in total variation in sequential steps~\cite{PS17}. Lu, Qi…
Fooling Thresholds of Halfspaces
Minglong Qin, Penghui Yao, Mingnan Zhao +1
We initiate the study of constructing explicit pseudorandom generators for thresholds of halfspaces with seed length polylogarithmic in the number of halfspaces. This class of func…
Dimension-Free Approximate Tensorization of Quantum Hypercontractivity for Qudit Depolarizing Semigroups
Yangjing Dong, Li Gao, Fengning Ou +2
We prove approximate tensorization for hypercontractivity and logarithmic-Sobolev constants for a class of primitive reversible quantum Markov semigroups satisfying the positive of…
Nonlocal Games in the High-Noise Regime: Optimal Quantum Values and Rigidity
Honghao Fu, Minglong Qin, Haochen Xu +1
Motivated by the limitations of near-term quantum devices, we study nonlocal games in the high-noise regime, where the two players may share arbitrarily many copies of a noisy enta…
A Pseudorandom Generator for Functions of Low-Degree Polynomial Threshold Functions
Penghui Yao, Mingnan Zhao
Developing explicit pseudorandom generators (PRGs) for prominent categories of Boolean functions is a key focus in computational complexity theory. In this paper, we investigate th…
On the complexity of proximal gradient and proximal gradient-Newton-CG methods for -regularized Optimization
Hong Zhu
In this paper, we propose two second-order methods for solving the \(\ell_1\)-regularized composite optimization problem, which are developed based on two distinct definitions of a…
The Computational Advantage of MIP* Vanishes in the Presence of Noise
Yangjing Dong, Honghao Fu, Anand Natarajan +3
Quantum multiprover interactive proof systems with entanglement MIP* are much more powerful than its classical counterpart MIP (Babai et al. '91, Ji et al. '20): while MIP = NEXP,…
A Cryptographic Perspective on the Verifiability of Quantum Advantage
Nai-Hui Chia, Honghao Fu, Fang Song +1
In recent years, achieving verifiable quantum advantage on a NISQ device has emerged as an important open problem in quantum information. The sampling-based quantum advantages are…
Quantum Pseudorandom Scramblers
Chuhan Lu, Minglong Qin, Fang Song +2
Quantum pseudorandom state generators (PRSGs) have stimulated exciting developments in recent years. A PRSG, on a fixed initial (e.g., all-zero) state, produces an output state tha…