734 citations · 3.8k across the 33 of their papers we have counts for
33 papers
Designs from magic-augmented Clifford circuits
Yuzhen Zhang, Sagar Vijay, Yingfei Gu +1
We introduce magic-augmented Clifford circuits -- architectures in which Clifford circuits are preceded and/or followed by constant-depth circuits of non-Clifford (``magic") gates…
Universality of the cross entropy in symmetric monitored quantum circuits
Maria Tikhanovskaya, Ali Lavasani, Matthew P. A. Fisher +1
The linear cross-entropy (LXE) has been recently proposed as a scalable probe of the measurement-driven phase transition between volume- and area-law-entangled phases of pure-state…
Continuous symmetry breaking in adaptive quantum dynamics
Jacob Hauser, Yaodong Li, Sagar Vijay +1
Adaptive quantum circuits, in which unitary operations, measurements, and feedback are used to steer quantum many-body systems, provide an exciting opportunity to generate new dyna…
Quantum Coding Transitions in the Presence of Boundary Dissipation
Izabella Lovas, Utkarsh Agrawal, Sagar Vijay
We investigate phase transitions in the encoding of quantum information in a quantum many-body system due to the competing effects of unitary scrambling and boundary dissipation. S…
Mixed-state long-range order and criticality from measurement and feedback
Tsung-Cheng Lu, Zhehao Zhang, Sagar Vijay +1
We propose a general framework for using local measurements, local unitaries, and non-local classical communication to construct quantum channels which can efficiently prepare mixe…
The X-Cube Floquet Code
Zhehao Zhang, David Aasen, Sagar Vijay
Inspired by the coupled-layer construction of the X-Cube model, we introduce the X-Cube Floquet code, a dynamical quantum error-correcting code where the number of encoded logical…
Random Quantum Circuits
Matthew P. A. Fisher, Vedika Khemani, Adam Nahum +1
Quantum circuits -- built from local unitary gates and local measurements -- are a new playground for quantum many-body physics and a tractable setting to explore universal collect…
Monitored Quantum Dynamics and the Kitaev Spin Liquid
Ali Lavasani, Zhu-Xi Luo, Sagar Vijay
Quantum circuit dynamics with local projective measurements can realize a rich spectrum of entangled states of quantum matter. Motivated by the physics of the Kitaev quantum spin l…
Real-time correlators in chaotic quantum many-body systems
Adam Nahum, Sthitadhi Roy, Sagar Vijay +1
We study real-time local correlators in chaotic quantum many-body systems. These correlators show universal structure at l…
Nanoscale electrostatic control in ultra clean van der Waals heterostructures by local anodic oxidation of graphite gates
Liam A. Cohen, Noah L. Samuelson, Taige Wang +7
In an all-van der Waals heterostructure, the active layer, gate dielectrics and gate electrodes are assembled from two-dimensional crystals that have a low density of atomic defect…
Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
Tsung-Cheng Lu, Sagar Vijay
Topologically-ordered phases of matter at non-zero temperature are conjectured to exhibit universal patterns of long-range entanglement which may be detected by a mixed-state entan…
Pascal's Triangle Fractal Symmetries
Nayan E. Myerson-Jain, Shang Liu, Wenjie Ji +2
We introduce a model of interacting bosons exhibiting an infinite collection of fractal symmetries -- termed "Pascal's triangle symmetries" -- which provides a natural gener…
Non-Abelian Hybrid Fracton Orders
Nathanan Tantivasadakarn, Wenjie Ji, Sagar Vijay
We introduce lattice gauge theories which describe three-dimensional, gapped quantum phases exhibiting the phenomenology of both conventional three-dimensional topological orders a…
Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
Yaodong Li, Sagar Vijay, Matthew P. A. Fisher
Monitored quantum dynamics reveal quantum state trajectories which exhibit a rich phenomenology of entanglement structures, including a transition from a weakly-monitored volume la…
Hybrid Fracton Phases: Parent Orders for Liquid and Non-Liquid Quantum Phases
Nathanan Tantivasadakarn, Wenjie Ji, Sagar Vijay
We introduce hybrid fracton orders: three-dimensional gapped quantum phases that exhibit the phenomenology of both conventional three-dimensional topological orders and fracton ord…
Nonergodic Quantum Dynamics from Deformations of Classical Cellular Automata
Thomas Iadecola, Sagar Vijay
Classical reversible cellular automata (CAs), which describe the discrete-time dynamics of classical degrees of freedom in a finite state-space, can exhibit exact, nonthermal quant…
Measurement-Driven Phase Transition within a Volume-Law Entangled Phase
Sagar Vijay
We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finit…
Self-Organized Error Correction in Random Unitary Circuits with Measurement
Ruihua Fan, Sagar Vijay, Ashvin Vishwanath +1
Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a…
Searching for Fracton Orders via Symmetry Defect Condensation
Nathanan Tantivasadakarn, Sagar Vijay
We propose a set of constraints on the ground-state wavefunctions of fracton phases, which provide a possible generalization of the string-net equations used to characterize topolo…
Anomalous Subdiffusion from Subsystem Symmetries
Jason Iaconis, Sagar Vijay, Rahul Nandkishore
We introduce quantum circuits in two and three spatial dimensions which are classically simulable, despite producing a high degree of operator entanglement. We provide a partial ch…
Scalable Fermionic Error Correction in Majorana Surface Codes
Oscar Viyuela, Sagar Vijay, Liang Fu
We study the error correcting properties of Majorana Surface Codes (MSC), topological quantum codes constructed out of interacting Majorana fermions, which can be used to store qua…
Pinch Point Singularities of Tensor Spin Liquids
Abhinav Prem, Sagar Vijay, Yang-Zhi Chou +2
Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor gauge…
Finite-Temperature Scrambling of a Random Hamiltonian
Sagar Vijay, Ashvin Vishwanath
We study the finite-temperature scrambling behavior of a quantum system described by a Hamiltonian chosen from a random matrix ensemble. This effectively (0+1)-dimensional model ad…
A Generalization of Non-Abelian Anyons in Three Dimensions
Sagar Vijay, Liang Fu
We introduce both an exactly solvable model and a coupled-layer construction for an exotic, three-dimensional phase of matter with immobile topological excitations that carry a pro…