861 citations · 8.4k across the 131 of their papers we have counts for
34 papers · 1 filter
Approximate Quantum Codes From Long Wormholes
Gregory Bentsen, Phuc Nguyen, Brian Swingle
We discuss families of approximate quantum error correcting codes which arise as the nearly-degenerate ground states of certain quantum many-body Hamiltonians composed of non-commu…
Discovery of Optimal Quantum Error Correcting Codes via Reinforcement Learning
Vincent Paul Su, ChunJun Cao, Hong-Ye Hu +3
The recently introduced Quantum Lego framework provides a powerful method for generating complex quantum error correcting codes (QECCs) out of simple ones. We gamify this process a…
NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians
Valérie Bettaque, Brian Swingle
Motivated by the ground state structure of quantum models with all-to-all interactions such as mean-field quantum spin glass models and the Sachdev-Ye-Kitaev (SYK) model, we propos…
Large Matrix Quantum Mechanics as a Quantum Memory
ChunJun Cao, Gong Cheng, Brian Swingle
In this paper, we explore the possibility of building a quantum memory that is robust to thermal noise using large matrix quantum mechanics models. First, we investigate the ga…
Thermal Multi-scale Entanglement Renormalization Ansatz for Variational Gibbs State Preparation
Troy J. Sewell, Christopher David White, Brian Swingle
Many simulation tasks require that one first prepare a system's Gibbs state. We present a family of quantum circuits for variational preparation of thermal Gibbs states on a quantu…
Report of the Snowmass 2021 Theory Frontier Topical Group on Quantum Information Science
Simon Catterall, Roni Harnik, Veronika E. Hubeny +12
We summarize current and future applications of quantum information science to theoretical high energy physics. Three main themes are identified and discussed; quantum simulation,…
Linear Growth of Circuit Complexity from Brownian Dynamics
Shao-Kai Jian, Gregory Bentsen, Brian Swingle
We calculate the frame potential for Brownian clusters of spins or fermions with time-dependent all-to-all interactions. In both cases the problem can be mapped to an effective…
Efficient tensor network simulation of quantum many-body physics on sparse graphs
Subhayan Sahu, Brian Swingle
We study tensor network states defined on an underlying graph which is sparsely connected. Generic sparse graphs are expander graphs with a high probability, and one can represent…
Towards Quantum Gravity in the Lab on Quantum Processors
Illya Shapoval, Vincent Paul Su, Wibe de Jong +2
The holographic principle and its realization in the AdS/CFT correspondence led to unexpected connections between general relativity and quantum information. This set the stage for…
Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
Shenglong Xu, Brian Swingle
This tutorial article introduces the physics of quantum information scrambling in quantum many-body systems. The goals are to understand how to precisely quantify the spreading of…
Operator Growth from Global Out-of-time-order Correlators
Tianci Zhou, Brian Swingle
In the context of chaotic quantum many-body systems, we show that operator growth, as diagnosed by out-of-time-order correlators of local operators, also leaves a sharp imprint in…
Phase transition in von Neumann entanglement entropy from replica symmetry breaking
Shao-Kai Jian, Brian Swingle
We study the entanglement transition in monitored Brownian SYK chains in the large- limit. Without measurement the steady state -th Rényi entropy is obtained by summing over…
Chaos-protected locality
Shao-Kai Jian, Brian Swingle
Microscopic speed limits that constrain the motion of matter, energy, and information abound in physics, from the "ultimate" speed limit set by light to Lieb-Robinson speed limits…
Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
Subhayan Sahu, Shao-Kai Jian, Gregory Bentsen +1
We develop solvable models of large- hybrid quantum circuits on qubits and fermions with long-range power-law interactions and continuous local monitoring, which provide analyti…
Quantum error as an emergent magnetic field
Shao-Kai Jian, Chunxiao Liu, Xiao Chen +2
We investigate the effect of quantum errors on a monitored Brownian Sachdev-Ye-Kitaev (SYK) model featuring a measurement-induced phase transition that can be understood as a symme…
Measurement-induced purification in large-N hybrid Brownian circuits
Gregory Bentsen, Subhayan Sahu, Brian Swingle
Competition between unitary dynamics that scrambles quantum information non-locally and local measurements that probe and collapse the quantum state can result in a measurement-ind…
Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II
Sepehr Nezami, Henry W. Lin, Adam R. Brown +6
In [1] we discussed how quantum gravity may be simulated using quantum devices and gave a specific proposal -- teleportation by size and the phenomenon of size-winding. Here we ela…
Conformal field theories are magical
Christopher David White, ChunJun Cao, Brian Swingle
"Magic" is the degree to which a state cannot be approximated by Clifford gates. We study mana, a measure of magic, in the ground state of the Potts model, and argue…
Approximate recovery and relative entropy I. general von Neumann subalgebras
Thomas Faulkner, Stefan Hollands, Brian Swingle +1
We prove the existence of a universal recovery channel that approximately recovers states on a v. Neumann subalgebra when the change in relative entropy, with respect to a fixed re…
Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions
Freek Witteveen, Volkher Scholz, Brian Swingle +1
The multiscale entanglement renormalization ansatz describes quantum many-body states by a hierarchical entanglement structure organized by length scale. Numerically, it has been d…
A characterization of quantum chaos by two-point correlation functions
Hrant Gharibyan, Masanori Hanada, Brian Swingle +1
We propose a characterization of quantum many-body chaos: given a collection of simple operators, the set of all possible pair-correlations between these operators can be organized…
Recovery Map for Fermionic Gaussian Channels
Brian Swingle, Yixu Wang
A recovery map effectively cancels the action of a quantum operation to a partial or full extent. We study the Petz recovery map in the case where the quantum channel and input sta…
Quantum Lyapunov Spectrum
Hrant Gharibyan, Masanori Hanada, Brian Swingle +1
We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy produ…
Accessing scrambling using matrix product operators
Shenglong Xu, Brian Swingle
Scrambling, a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes, happens in generic chaotic quantum many-body system…