68 citations · 261 across the 22 of their papers we have counts for
23 papers
Global Fluctuations of Gaussian Elliptic Matrices
Lingxuan Wu, Zhi Yin
We introduce a spoke-arc decomposition of non-crossing annular pair partitions that records spoke type and orientation, isolates spoke-level contributions, and factoriz…
Outlier eigenvalues for full rank deformed single ring random matrices
Ching-Wei Ho, Zhi Yin, Ping Zhong
Let be an deterministic matrix and be a deterministic non-negative matrix such that and converge in -moments to operators and respec…
Almost surely convergence of the quantum entropy of random graph states and the area law
Zhi Yin, Liang Zhao
In [1], Collins et al. showed that the quantum entropy of random graph states satisfies the so-called area law as the local dimension tends to be large. In this paper, we continue…
Spectrum of Laplacian matrices associated with large random elliptic matrices
Sean O'Rourke, Zhi Yin, Ping Zhong
A Laplacian matrix is a square matrix whose row sums are zero. We study the limiting eigenvalue distribution of a Laplacian matrix formed by taking a random elliptic matrix and sub…
The spectrum of local random Hamiltonians
Benoit Collins, Zhi Yin, Liang Zhao +1
The spectrum of a local random Hamiltonian can be represented generically by the so-called -free convolution of its local terms' probability distributions. We establish an isomo…
The Brown measure of a sum of two free random variables, one of which is triangular elliptic
Serban Belinschi, Zhi Yin, Ping Zhong
The triangular elliptic operators are natural extensions of the elliptic deformation of circular operators. We obtain a Brown measure formula for the sum of a triangular elliptic o…
Finite free convolutions via Weingarten calculus
Jacob Campbell, Zhi Yin
We consider the three finite free convolutions for polynomials studied in a recent paper by Marcus, Spielman, and Srivastava. Each can be described either by direct explicit formul…
Interpolation of quasi noncommutative -spaces
Juan Gu, Zhi Yin, Haonan Zhang
Let be a (-finite) von Neumann algebra associated with a normal faithful state We prove a complex interpolation result for a couple of two (quasi) Haagerup no…
The PPT square conjecture holds generically for some classes of independent states
Benoît Collins, Zhi Yin, Ping Zhong
Let be a random pure state on , where is a random unit vector uniformly distributed on the sphere in $\mathbb{C}^{d^…
Random and free observables saturate the Tsirelson bound for CHSH inequality
Z. Yin, A. W. Harrow, M. Horodecki +2
Maximal violation of the CHSH-Bell inequality is usually said to be a feature of anticommuting observables. In this work we show that even random observables exhibit near-maximal v…
Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
Xiao Xiong, Quanhua Xu, Zhi Yin
This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative -torus (with a skew symmetric real -matrix)…
Large bipartite Bell violations with dichotomic measurements
C. Palazuelos, Z. Yin
In this paper we introduce a simple and natural bipartite Bell scenario, by considering the correlations between two parties defined by general measurements in one party and dichot…
Bell and steering scenarios in terms of operator systems
Marcin Marciniak, Michal Horodecki, Zhi Yin
The aim of this paper is to indicate possible applications of operator systems in qualitative description of varoius scenarios while studying non-locality. To this end we study in…
Unbounded violation of quantum steering inequalities
M. Marciniak, A. Rutkowski, Z. Yin +2
We construct steering inequalities which exhibit unbounded violation. The concept was to exploit the relationship between steering violation and uncertainty relation. To this end w…
Geometric Bell-like inequalities for steering
Marek Żukowski, Arijit Dutta, Zhi Yin
Many of the standard Bell inequalities (e.g., CHSH) are not effective for detection of quantum correlations which allow for steering, because for a wide range of such correlations…
Operator space approach to steering inequality
Michal Horodecki, Marcin Marciniak, Zhi Yin
In \cite{JP2011,JPPVW2010} the operator space theory was applied to study bipartite Bell inequalities. The aim of the paper is to follow this line of research and use the operator…
Multi-setting Greenberger-Horne-Zeilinger theorem
Junghee Ryu, Changhyoup Lee, Zhi Yin +4
We present a generalized Greenberger-Horne-Zeilinger (GHZ) theorem, which involves more than two local measurement settings for some parties, and cannot be reduced to one with less…
Harmonic analysis on quantum tori
Zeqian Chen, Quanhua Xu, Zhi Yin
This paper is devoted to the study of harmonic analysis on quantum tori. We consider several summation methods on these tori, including the square Fejér means, square and circular…
Wavelet approach to operator-valued Hardy spaces
Guixiang Hong, Zhi Yin
This paper is devoted to the study of operator-valued Hardy spaces via wavelet method. This approach is parallel to that in noncommutative martingale case. We show that our Hardy s…
Quantum correlations in a cluster-like system
Yi-Xin Chen, Sheng-Wen Li, Zhi Yin
We discuss a cluster-like 1D system with triplet interaction. We study the topological properties of this system. We find that the degeneracy depends on the topology of the system,…
Thermal quantum discord in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-Moriya interaction
Yi-Xin Chen, Zhi Yin
The thermal quantum discord (QD) is studied in a two-qubit Heisenberg XXZ system with Dzyaloshinskii-Moriya (DM) interaction. We compare the thermal QD with thermal entanglement in…
Tunneling Qubit Operation on a Protected Josephson Junction Array
Zhi Yin, Sheng-Wen Li, Yi-Xin Chen
We discuss a protected quantum computation process based on a hexagon Josephson junction array. Qubits are encoded in the punctured array, which is topologically protected. The deg…
Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin +1
We prove that atomic decomposition for the Hardy spaces h_1 and H_1 is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative m…