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View article: Counterdiabatic Driving with Performance Guarantees
Counterdiabatic Driving with Performance Guarantees Open
Counterdiabatic (CD) driving has the potential to speed up adiabatic quantum state preparation by suppressing unwanted excitations. However, existing approaches either require intractable classical computations or are based on approximatio…
View article: Time-optimal single-scalar control on a qubit of unitary dynamics
Time-optimal single-scalar control on a qubit of unitary dynamics Open
Optimal control theory is applied to analyze the time-optimal solution with a single scalar control knob in a two-level quantum system without quantum decoherence. Emphasis is \change{placed} on the dependence on the maximum control streng…
View article: Quantum many-body simulations with PauliStrings.jl
Quantum many-body simulations with PauliStrings.jl Open
We present the Julia package PauliStrings.jl for quantum many-body simulations, which performs fast operations on the Pauli group by encoding Pauli strings in binary. All of the Pauli string algebra is encoded into low-level logic operatio…
View article: Codebase release 1.5 for PauliStrings.jl
Codebase release 1.5 for PauliStrings.jl Open
We present the Julia package PauliStrings.jl for quantum many-body simulations, which performs fast operations on the Pauli group by encoding Pauli strings in binary. All of the Pauli string algebra is encoded into low-level logic operatio…
View article: Toffoli gadget for magnetic-tunnel-junction Boltzmann machines
Toffoli gadget for magnetic-tunnel-junction Boltzmann machines Open
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View article: Solving combinatorial optimization problems through stochastic Landau-Lifshitz-Gilbert dynamical systems
Solving combinatorial optimization problems through stochastic Landau-Lifshitz-Gilbert dynamical systems Open
We present a method to approximately solve general instances of combinatorial optimization problems using the physical dynamics of three-dimensional (3D) rotors obeying Landau-Lifshitz-Gilbert dynamics. Conventional techniques to solve dis…
View article: Nonperturbative decay of bipartite discrete time crystals
Nonperturbative decay of bipartite discrete time crystals Open
We study prethermal time-crystalline order in periodically driven quantum Ising models on disorder-free decorated lattices. Using a tensor network ansatz for the state which reflects the geometry of a unit cell of the lattice, we show thro…
View article: A Toffoli Gadget for Magnetic Tunnel Junctions Boltzmann Machines
A Toffoli Gadget for Magnetic Tunnel Junctions Boltzmann Machines Open
Magnetic Tunnel Junctions (MTJs) are of great interest for non-conventional computing applications. The Toffoli gate is a universal reversible logic gate, enabling the construction of arbitrary boolean circuits. Here, we present a proof-of…
View article: Confinement in the Transverse Field Ising Model on the Heavy Hex Lattice
Confinement in the Transverse Field Ising Model on the Heavy Hex Lattice Open
Inspired by a recent quantum computing experiment [Y. Kim , ], we study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimized with belief propaga…
View article: Quantum many-body simulations with PauliStrings.jl
Quantum many-body simulations with PauliStrings.jl Open
We present the Julia package PauliStrings ( https://github.com/nicolasloizeau/PauliStrings.jl ) for quantum many-body simulations, which performs fast operations on the Pauli group by encoding Pauli strings in binary. All of the Pauli stri…
View article: Universal semiclassical dynamics in disordered two-dimensional systems
Universal semiclassical dynamics in disordered two-dimensional systems Open
The dynamics of disordered two-dimensional systems is much less understood than the dynamics of disordered chains, mainly due to the lack of appropriate numerical methods. We demonstrate that a single-trajectory version of the fermionic tr…
View article: Quantum mereology and subsystems from the spectrum
Quantum mereology and subsystems from the spectrum Open
The minimal ingredients to describe a quantum system are a Hamiltonian, an initial state, and a preferred tensor product structure that encodes a decomposition into subsystems. We explore a top-down approach in which the subsystems emerge …
View article: Quantum enhanced Markov chains require fine-tuned quenches
Quantum enhanced Markov chains require fine-tuned quenches Open
Quantum-enhanced Markov chain Monte Carlo, an algorithm in which configurations are proposed through a measured quantum quench and accepted or rejected by a classical algorithm, has been proposed as a possible method for robust quantum spe…
View article: Platform tailored codesign of gate-based quantum simulation
Platform tailored codesign of gate-based quantum simulation Open
The utility of near-term quantum computers and simulators is likely to rely upon software-hardware codesign, with error-aware algorithms and protocols optimized for the platforms they are run on. Here, we show how knowledge of noise in a s…
View article: Solving combinatorial optimization problems through stochastic Landau-Lifshitz-Gilbert dynamical systems
Solving combinatorial optimization problems through stochastic Landau-Lifshitz-Gilbert dynamical systems Open
We present a method to approximately solve general instances of combinatorial optimization problems using the physical dynamics of 3d rotors obeying Landau-Lifshitz-Gilbert dynamics. Conventional techniques to solve discrete optimization p…
View article: Extracting off-diagonal order from diagonal basis measurements
Extracting off-diagonal order from diagonal basis measurements Open
Quantum gas microscopy has developed into a powerful tool to explore strongly correlated quantum systems. However, discerning phases with topological or off-diagonal long range order requires the ability to extract these correlations from …
View article: Variational Adiabatic Transport of Tensor Networks
Variational Adiabatic Transport of Tensor Networks Open
We discuss a tensor network method for constructing the adiabatic gauge potential—the generator of adiabatic transformations—as a matrix product operator, which allows us to adiabatically transport matrix product states. Adiabatic evolutio…
View article: Re-entrant phase transitions induced by localization of zero-modes
Re-entrant phase transitions induced by localization of zero-modes Open
Common wisdom dictates that physical systems become less ordered when heated to higher temperature. However, several systems display the opposite phenomenon and move to a more ordered state upon heating, e.g. at low temperature piezoelectr…
View article: Ranking species in complex ecosystems through nestedness maximization
Ranking species in complex ecosystems through nestedness maximization Open
Identifying the rank of species in a complex ecosystem is a difficult task, since the rank of each species invariably depends on the interactions stipulated with other species through the adjacency matrix of the network. A common ranking m…
View article: Bounding speedup of quantum-enhanced Markov chain Monte Carlo
Bounding speedup of quantum-enhanced Markov chain Monte Carlo Open
Sampling tasks are a natural class of problems for quantum computers due to the probabilistic nature of the Born rule. Sampling from useful distributions on noisy quantum hardware remains a challenging problem. A recent paper [Layden, D. e…
View article: Confinement in the Transverse Field Ising model on the Heavy Hex lattice
Confinement in the Transverse Field Ising model on the Heavy Hex lattice Open
We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to…
View article: Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment
Efficient Tensor Network Simulation of IBM’s Eagle Kicked Ising Experiment Open
We report an accurate and efficient classical simulation of a kicked Ising quantum system on the heavy hexagon lattice. A simulation of this system was recently performed on a 127-qubit quantum processor using noise-mitigation techniques t…
View article: Digital quantum simulation of NMR experiments
Digital quantum simulation of NMR experiments Open
Simulations of nuclear magnetic resonance (NMR) experiments can be an important tool for extracting information about molecular structure and optimizing experimental protocols but are often intractable on classical computers for large mole…
View article: Asymptotic behavior of continuous weak measurement and its application to real-time parameter estimation
Asymptotic behavior of continuous weak measurement and its application to real-time parameter estimation Open
The asymptotic quantum trajectory of weak continuous measurement for the magnetometer is investigated. The magnetometer refers to a setup where the field-to-estimate and the measured moment are orthogonal, and the quantum state is governed…
View article: Variational adiabatic transport of tensor networks
Variational adiabatic transport of tensor networks Open
We discuss a tensor network method for constructing the adiabatic gauge potential -- the generator of adiabatic transformations -- as a matrix product operator, which allows us to adiabatically transport matrix product states. Adiabatic ev…
View article: Slowly decaying zero mode in a weakly nonintegrable boundary impurity model
Slowly decaying zero mode in a weakly nonintegrable boundary impurity model Open
The transverse field Ising model (TFIM) on the half-infinite chain possesses an edge zero mode. This work considers an impurity model: TFIM perturbed by a boundary integrability-breaking interaction. For sufficiently large transverse field…
View article: Variational Quantum Dynamics of Two-Dimensional Rotor Models
Variational Quantum Dynamics of Two-Dimensional Rotor Models Open
We present a numerical method to simulate the dynamics of continuous-variable quantum many-body systems. Our approach is based on custom neural-network many-body quantum states. We focus on dynamics of two-dimensional quantum rotors and si…
View article: Unveiling order from chaos by approximate 2-localization of random matrices
Unveiling order from chaos by approximate 2-localization of random matrices Open
Quantum many-body systems are typically endowed with a tensor product structure. A structure they inherited from probability theory, where the probability of two independent events is the product of the probabilities. The tensor product st…
View article: Efficient tensor network simulation of IBM's Eagle kicked Ising experiment
Efficient tensor network simulation of IBM's Eagle kicked Ising experiment Open
We report an accurate and efficient classical simulation of a kicked Ising quantum system on the heavy-hexagon lattice. A simulation of this system was recently performed on a 127 qubit quantum processor using noise mitigation techniques t…
View article: Slowly decaying zero mode in a weakly non-integrable boundary impurity model
Slowly decaying zero mode in a weakly non-integrable boundary impurity model Open
The transverse field Ising model (TFIM) on the half-infinite chain possesses an edge zero mode. This work considers an impurity model -- TFIM perturbed by a boundary integrability breaking interaction. For sufficiently large transverse fie…