851 citations · 4.1k across the 61 of their papers we have counts for
63 papers
Rewire and reset are all you need: Minimal resources for manipulating non-Abelions
Chiu Fan Bowen Lo, Rohith Sajith, Anasuya Lyons +2
Braiding and fusing anyons are fundamental to topological quantum computation, yet existing circuit protocols often employ ancillas and measurements. We determine the minimal circu…
Disentangling the Toric Code
Lei Gioia, Salvatore D. Pace, Ruben Verresen +2
Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site symmetries…
Integer Linear Programming Decoder for Abelian and Non-Abelian Topological Codes
Dian Jing, Aubrey Zhang, Liang Jiang +1
Topological orders (TOs) are widely used as quantum error-correcting codes, with anyon excitations serving as error syndromes. For certain Abelian TOs, decoding can be performed by…
Correlation versus Causation in Quantum Criticality
Conrad Wichmann, Ryan Thorngren, Ruben Verresen
Correlation functions reveal scaling dimensions through spatial decay. We instead consider static susceptibility, the change in $\langle O_1(x) \ran…
Symmetry-twisted multi-entropies: Order parameters for 2D SPT phases
Ramanjit Sohal, Michael Levin, Ruben Verresen
Although symmetry-protected topological phases (SPTs) can be distinguished by their entanglement properties, it has been unclear how to extract this information directly from expec…
Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Avi Vadali, Robijn Vanhove, Ruben Verresen +2
Topological quantum computation relies on braiding non-Abelian anyons, but requires the underlying topological order to survive imperfect state preparation and environmental noise.…
Exact quantum scars from kinetic frustration for cross-platform realizations
Zhuoli Ding, Ruben Verresen, Zoe Z. Yan
Quantum many-body scars are nonthermal states exhibiting persistent revivals in an otherwise ergodic, nonintegrable quantum system. Here we leverage the phenomenon of kinetic frust…
Engineering quantum criticality and dynamics on an analog-digital simulator
Alexandra A. Geim, Nazli Ugur Koyluoglu, Simon J. Evered +14
Understanding emergent phenomena in out-of-equilibrium interacting many-body systems is an exciting frontier in physical science. While quantum simulators represent a promising app…
Universal Gates from Braiding and Fusing Anyons on Quantum Hardware
Chiu Fan Bowen Lo, Anasuya Lyons, Dan Gresh +8
Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes b…
Non-Invertible Interfaces Between Symmetry-Enriched Critical Phases
Saranesh Prembabu, Shu-Heng Shao, Ruben Verresen
Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does…
Obstruction to Ergodicity from Locality and Higher Symmetries on the Lattice
Ramanjit Sohal, Ruben Verresen
We argue that the presence of any exact higher-form symmetry, under mild assumptions, presents a fundamental obstruction to ergodicity under unitary dynamics in lattice syst…
Multicriticality between Purely Gapless SPT Phases with Unitary Symmetry
Saranesh Prembabu, Ruben Verresen
Symmetry-protected topological (SPT) phases are commonly required to have an energy gap, but recent work has extended the concept to gapless settings. This raises a natural questio…
Intrinsic Heralding and Optimal Decoders for Non-Abelian Topological Order
Dian Jing, Pablo Sala, Liang Jiang +1
Topological order (TO) provides a natural platform for storing and manipulating quantum information. However, its stability to noise has only been systematically understood for Abe…
Charge pumps, pivot Hamiltonians and symmetry-protected topological phases
Nick. G. Jones, Ryan Thorngren, Ruben Verresen +1
Generalised charge pumps are topological obstructions to trivialising loops in the space of symmetric gapped Hamiltonians. We show that given mild conditions on such pumps, the ass…
Topological Phase Transitions and Mixed State Order in a Hubbard Quantum Simulator
Lin Su, Rahul Sahay, Michal Szurek +5
Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum s…
Enforced Gaplessness from States with Exponentially Decaying Correlations
Rahul Sahay, Curt von Keyserlingk, Ruben Verresen +1
It is well known that an exponentially localized Hamiltonian must be gapless if its ground state has algebraic correlations. We show that even certain exponentially decaying correl…
Universal Quantum Computation with the Quantum Double: A Pedagogical Exposition
Chiu Fan Bowen Lo, Anasuya Lyons, Ruben Verresen +2
Non-Abelian topological order (TO) enables topologically protected quantum computation with its anyonic quasiparticles. Recently, TO with gauge symmetry was identified as a s…
Qutrit Toric Code and Parafermions in Trapped Ions
Mohsin Iqbal, Anasuya Lyons, Chiu Fan Bowen Lo +16
The development of programmable quantum devices can be measured by the complexity of manybody states that they are able to prepare. Among the most significant are topologically ord…
Protocols for Creating Anyons and Defects via Gauging
Anasuya Lyons, Chiu Fan Bowen Lo, Nathanan Tantivasadakarn +2
Creating and manipulating anyons and symmetry defects in topological phases, especially those with a non-Abelian character, constitutes a primitive for topological quantum computat…
Decoherence and wavefunction deformation of non-Abelian topological order
Pablo Sala, Jason Alicea, Ruben Verresen
The effect of decoherence on topological order (TO) has been most deeply understood for the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be anal…
Stability and Loop Models from Decohering Non-Abelian Topological Order
Pablo Sala, Ruben Verresen
Decohering topological order (TO) is central to the many-body physics of open quantum matter and decoding transitions. We identify relevant statistical mechanical models for decohe…
Classifying One-Dimensional Quantum States Prepared by a Single Round of Measurements
Rahul Sahay, Ruben Verresen
Measurements and feedback have emerged as powerful resources for creating many-body quantum states. However, a detailed understanding has been restricted to fixed-point representat…
Finite-Depth Preparation of Tensor Network States from Measurement
Rahul Sahay, Ruben Verresen
Although tensor network states constitute a broad range of exotic quantum states, their realization is challenging and often requires resources whose depth scales with system size.…
Topological quantum chains protected by dipolar and other modulated symmetries
Jung Hoon Han, Ethan Lake, Ho Tat Lam +2
We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in…