activity
20232026
most citedHow much entanglement is needed for quantum error correction?

8 citations · 11 across the 13 of their papers we have counts for

collaborators

13 papers

quant-ph2026

On Optimal Quantum Data Hiding and Maximal Separable Ball

Zhi Li

Quantum data hiding asks how much distinguishing power can be lost when global measurements are restricted to local measurements and classical communication. In this work, we estab…

quant-ph2026

Many-body chirality of topological stabilizer states

Tyler D. Ellison, Dongjin Lee, Zhi Li +3

A defining feature of chirality is the distinction between a system and its mirror image. Despite extensive experimental observations of chiral phases and theoretical advances, a q…

quant-ph2026

A Unified Framework for Locally Stable Phases

Zhi Li, Raz Firanko, Timothy H. Hsieh

We propose a unifying framework for characterizing pure and mixed state phases of matter across equilibrium, non equilibrium, and metastable regimes. We introduce the concept of lo…

quant-ph2026

Explicit States with Two-sided Long-Range Magic

Zhi Li

Nonstabilizerness, or magic, is a necessary resource for quantum advantage beyond the classically simulatable Clifford framework. Recent works have begun to chart the structure of…

quant-ph2025

Lovász Meets Lieb-Schultz-Mattis: Complexity in Approximate Quantum Error Correction

Jinmin Yi, Ruizhi Liu, Zhi Li

Approximate quantum error correction (AQEC) provides a versatile framework for both quantum information processing and probing many-body entanglement. We reveal a fundamental tensi…

quant-ph2025

Entanglement sharing schemes

Zahra Khanian, Dongjin Lee, Debbie Leung +7

We ask how quantum correlations can be distributed among many subsystems. To address this, we define entanglement sharing schemes (ESS) where certain pairs of subsystems allow enta…

cond-mat.mes-hall2025

Spontaneous Chern-Euler Duality Transitions

Kang Yang, Zhi Li, Peng Xue +2

Topological phase transitions are typically characterized by abrupt changes in a quantized invariant. Here we report a contrasting paradigm in spontaneous parity-time symmetry-brea…

quant-ph2025

Tripartite Haar random state has no bipartite entanglement

Zhi Li, Takato Mori, Beni Yoshida

We show that no EPR-like bipartite entanglement can be distilled from a tripartite Haar random state by local unitaries or local operations when each subsystem $A…

quant-ph2024★ 1 cited

Chaitin Phase Transition

James Purcell, Zhi Li, Toby Cubitt

We construct a family of Hamiltonians whose phase diagram is guaranteed to have a single phase transition, yet the location of this phase transition is uncomputable. The Hamiltonia…

quant-ph2024

How Much Entanglement Is Needed for Topological Codes and Mixed States with Anomalous Symmetry?

Zhi Li, Dongjin Lee, Beni Yoshida

It is known that particles with exotic properties can emerge in systems made of simple constituents such as qubits, due to long-range quantum entanglement. In this paper, we provid…

quant-ph2024★ 8 cited

How much entanglement is needed for quantum error correction?

Sergey Bravyi, Dongjin Lee, Zhi Li +1

It is commonly believed that logical states of quantum error-correcting codes have to be highly entangled such that codes capable of correcting more errors require more entanglemen…

quant-ph2023★ 2 cited

Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit

Zhi Li, Zhu-Xi Luo

Symmetry is a powerful tool for understanding phases of matter in equilibrium. Quantum circuits with measurements have recently emerged as a platform for novel states of matter int…

quant-ph2023

The Penrose Tiling is a Quantum Error-Correcting Code

Zhi Li, Latham Boyle

The Penrose tiling (PT) is an intrinsically non-periodic way of tiling the plane, with many remarkable properties. A quantum error-correcting code (QECC) is a clever way of protect…