83 citations · 602 across the 19 of their papers we have counts for
19 papers
Petz recovery from subsystems in conformal field theory
Shreya Vardhan, Annie Y. Wei, Yijian Zou
We probe the multipartite entanglement structure of the vacuum state of a CFT in 1+1 dimensions, using recovery operations that attempt to reconstruct the density matrix in some re…
Channeling quantum criticality
Yijian Zou, Shengqi Sang, Timothy H. Hsieh
We analyze the effect of decoherence, modelled by local quantum channels, on quantum critical states and we find universal properties of the resulting mixed state's entanglement, b…
Cross Entropy Benchmark for Measurement-Induced Phase Transitions
Yaodong Li, Yijian Zou, Paolo Glorioso +2
We investigate the prospects of employing the linear cross-entropy to experimentally access measurement-induced phase transitions (MIPT) without requiring any postselection of quan…
Modular Commutators in Conformal Field Theory
Yijian Zou, Bowen Shi, Jonathan Sorce +2
The modular commutator is a recently discovered multipartite entanglement measure that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive…
Emergence of Kac-Moody Symmetry in Critical Quantum Spin Chains
Ruoshui Wang, Yijian Zou, Guifre Vidal
Given a critical quantum spin chain with a microscopic Lie-group symmetry, corresponding e.g. to or spin isotropy, we numerically investigate the emergence of Kac-Mo…
Probing sign structure using measurement-induced entanglement
Cheng-Ju Lin, Weicheng Ye, Yijian Zou +2
The sign structure of quantum states is closely connected to quantum phases of matter, yet detecting such fine-grained properties of amplitudes is subtle. Here we employ as a diagn…
Density Matrix Renormalization Group with Tensor Processing Units
Martin Ganahl, Jackson Beall, Markus Hauru +4
Google's Tensor Processing Units (TPUs) are integrated circuits specifically built to accelerate and scale up machine learning workloads. They can perform fast distributed matrix m…
Operator fusion from wavefunction overlaps: Universal finite-size corrections and application to Haagerup model
Yuhan Liu, Yijian Zou, Shinsei Ryu
Given a critical quantum spin chain described by a conformal field theory (CFT) at long distances, it is crucial to understand the universal conformal data. One most important ingr…
Differentiable Programming of Isometric Tensor Networks
Chenhua Geng, Hong-Ye Hu, Yijian Zou
Differentiable programming is a new programming paradigm which enables large scale optimization through automatic calculation of gradients also known as auto-differentiation. This…
A universal tripartite entanglement signature of ungappable edge states
Karthik Siva, Yijian Zou, Tomohiro Soejima +2
Gapped two-dimensional topological phases can feature ungappable edge states which are robust even in the absence of protecting symmetries. In this work we show that a multipartite…
Multi-boundary generalization of thermofield double states and their realization in critical quantum spin chains
Yijian Zou, Guifre Vidal
We propose a multi-boundary generalization of thermofield double states (TFD) of a two-dimensional conformal field theory (CFT) and show, through a conformal map to the complex pla…
Universal information of critical quantum spin chains from wavefunction overlaps
Yijian Zou
Given a critical quantum spin chain, we show how universal information about its quantum critical point can be extracted from wavefunction overlaps. More specifically, we consider…
Universal tripartite entanglement in one-dimensional many-body systems
Yijian Zou, Karthik Siva, Tomohiro Soejima +2
Motivated by conjectures in holography relating the entanglement of purification and reflected entropy to the entanglement wedge cross-section, we introduce two related non-negativ…
Emergence of conformal symmetry in quantum spin chains: anti-periodic boundary conditions and supersymmetry
Yijian Zou, Guifre Vidal
Universal properties of a critical quantum spin chain are encoded in the underlying conformal field theory (CFT). This underlying CFT is fully characterized by its conformal data.…
Magic entanglement renormalization for quantum fields
Yijian Zou, Martin Ganahl, Guifre Vidal
Continuous tensor networks are variational wavefunctions proposed in recent years to efficiently simulate quantum field theories (QFTs). Prominent examples include the continuous m…
TensorNetwork: A Library for Physics and Machine Learning
Chase Roberts, Ashley Milsted, Martin Ganahl +6
TensorNetwork is an open source library for implementing tensor network algorithms. Tensor networks are sparse data structures originally designed for simulating quantum many-body…
Conformal fields and operator product expansion in critical quantum spin chains
Yijian Zou, Ashley Milsted, Guifre Vidal
We propose a variational method for identifying lattice operators in a critical quantum spin chain with scaling operators in the underlying conformal field theory (CFT). In particu…
Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states
Yijian Zou, Ashley Milsted, Guifre Vidal
We establish that a Bloch-state ansatz based on periodic uniform Matrix Product States (puMPS), originally designed to capture single-quasiparticle excitations in gapped systems, i…
Half-width of local spectral density of states given by width of nonperturbative parts of eigenfunctions: The Wigner-band-matrix model
Yijian Zou, Yuchen Ma, Peijun Zhu +2
It is shown that, for a Hamiltonian with a band structure, the half width of local spectral density of states, or strength function, is closely related to the width of the nonpertu…