William J. Huggins
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View article: The FLuid Allocation of Surface code Qubits (FLASQ) cost model for early fault-tolerant quantum algorithms
The FLuid Allocation of Surface code Qubits (FLASQ) cost model for early fault-tolerant quantum algorithms Open
Holistic resource estimates are essential for guiding the development of fault-tolerant quantum algorithms and the computers they will run on. This is particularly true when we focus on highly-constrained early fault-tolerant devices. Many…
View article: Data for "Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor"
Data for "Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor" Open
This dataset contains the experimental data for arXiv:2410.06557, as well as two notebooks showing how to read the data files and reproduce figures from the paper. `1D` contains the data to reproduce Figure 1 and associated SM figures. `2D…
View article: Error Mitigation and Circuit Division for Early Fault-Tolerant Quantum Phase Estimation
Error Mitigation and Circuit Division for Early Fault-Tolerant Quantum Phase Estimation Open
As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of during which limited error correction is available. We propose a framework for designing early fault-tolerant algor…
View article: Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories
Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories Open
Lattice gauge theories (LGTs)1-4 can be used to understand a wide range of phenomena, from elementary particle scattering in high-energy physics to effective descriptions of many-body interactions in materials5-7. Stu…
View article: Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories Open
The datasets contained herein correspond to the raw data from the quantum processor and displayed results of the main figures of Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories, published in Nature. For details…
View article: Productionizing Quantum Mass Production
Productionizing Quantum Mass Production Open
For many practical applications of quantum computing, the most costly steps involve coherently accessing classical data. We help address this challenge by applying mass production techniques, which can reduce the cost of applying an operat…
View article: Scaling and logic in the colour code on a superconducting quantum processor
Scaling and logic in the colour code on a superconducting quantum processor Open
View article: Unit cell manufacture by blown powder directed energy deposition
Unit cell manufacture by blown powder directed energy deposition Open
View article: Efficient State Preparation for the Quantum Simulation of Molecules in First Quantization
Efficient State Preparation for the Quantum Simulation of Molecules in First Quantization Open
The quantum simulation of real molecules and materials is one of the most highly anticipated applications of quantum computing. Algorithms for simulating electronic structure using a first-quantized plane-wave representation are especially…
View article: Thermalization and criticality on an analogue–digital quantum simulator
Thermalization and criticality on an analogue–digital quantum simulator Open
View article: Scaling and logic in the color code on a superconducting quantum processor
Scaling and logic in the color code on a superconducting quantum processor Open
Quantum error correction is essential for bridging the gap between the error rates of physical devices and the extremely low logical error rates required for quantum algorithms. Recent error-correction demonstrations on superconducting pro…
View article: Demonstrating dynamic surface codes
Demonstrating dynamic surface codes Open
A remarkable characteristic of quantum computing is the potential for reliable computation despite faulty qubits. This can be achieved through quantum error correction, which is typically implemented by repeatedly applying static syndrome …
View article: Quantum error correction below the surface code threshold
Quantum error correction below the surface code threshold Open
View article: Phase transitions in random circuit sampling
Phase transitions in random circuit sampling Open
View article: Error mitigation and circuit division for early fault-tolerant quantum phase estimation
Error mitigation and circuit division for early fault-tolerant quantum phase estimation Open
As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of "early fault tolerance" where limited error correction is available. We propose a framework for designing early fau…
View article: Quantum error correction below the surface code threshold
Quantum error correction below the surface code threshold Open
Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed exponentially as more qubits are added. However, this expo…
View article: Efficient state preparation for the quantum simulation of molecules in first quantization
Efficient state preparation for the quantum simulation of molecules in first quantization Open
The quantum simulation of real molecules and materials is one of the most highly anticipated applications of quantum computing. Algorithms for simulating electronic structure using a first-quantized plane wave representation are especially…
View article: Thermalization and Criticality on an Analog-Digital Quantum Simulator
Thermalization and Criticality on an Analog-Digital Quantum Simulator Open
Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential of such systems toward this goal requires flexible initial state preparation, precise time evolut…
View article: Accelerating Quantum Algorithms with Precomputation
Accelerating Quantum Algorithms with Precomputation Open
Real-world applications of computing can be extremely time-sensitive. It would be valuable if we could accelerate such tasks by performing some of the work ahead of time. Motivated by this, we propose a cost model for quantum algorithms th…
View article: Matchgate Shadows for Fermionic Quantum Simulation
Matchgate Shadows for Fermionic Quantum Simulation Open
“Classical shadows” are estimators of an unknown quantum state, constructed from suitably distributed random measurements on copies of that state (Huang et al. in Nat Phys 16:1050, 2020, https://doi.org/10.1038/s41567-020-0932-7 ). In this…
View article: Measurement-induced entanglement and teleportation on a noisy quantum processor
Measurement-induced entanglement and teleportation on a noisy quantum processor Open
Measurement has a special role in quantum theory 1 : by collapsing the wavefunction, it can enable phenomena such as teleportation 2 and thereby alter the ‘arrow of time’ that constrains unitary evolution. When integrated in many-body dyna…
View article: Purification-based quantum error mitigation of pair-correlated electron simulations
Purification-based quantum error mitigation of pair-correlated electron simulations Open
An important measure of the development of quantum computing platforms has been the simulation of increasingly complex physical systems. Before fault-tolerant quantum computing, robust error-mitigation strategies were necessary to continue…
View article: Say NO to Optimization: A Nonorthogonal Quantum Eigensolver
Say NO to Optimization: A Nonorthogonal Quantum Eigensolver Open
A balanced description of both static and dynamic correlations in electronic systems with nearly degenerate low-lying states presents a challenge for multiconfigurational methods on classical computers. We present here a quantum algorithm …
View article: Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods
Quantum simulation of exact electron dynamics can be more efficient than classical mean-field methods Open
View article: Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
Dynamics of magnetization at infinite temperature in a Heisenberg spin chain Open
Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin dynamics of the 1D Heisenberg model were conjectured to belong to the Kardar-Parisi-Zhang (KPZ) universality cla…
View article: On quantum backpropagation, information reuse, and cheating measurement collapse
On quantum backpropagation, information reuse, and cheating measurement collapse Open
The success of modern deep learning hinges on the ability to train neural networks at scale. Through clever reuse of intermediate information, backpropagation facilitates training through gradient computation at a total cost roughly propor…
View article: Accelerating Quantum Algorithms with Precomputation
Accelerating Quantum Algorithms with Precomputation Open
Real-world applications of computing can be extremely time-sensitive. It would be valuable if we could accelerate such tasks by performing some of the work ahead of time. Motivated by this, we propose a cost model for quantum algorithms th…
View article: Non-Abelian braiding of graph vertices in a superconducting processor
Non-Abelian braiding of graph vertices in a superconducting processor Open
View article: Quantum information phases in space-time: measurement-inducedentanglement and teleportation on a noisy quantum processor
Quantum information phases in space-time: measurement-inducedentanglement and teleportation on a noisy quantum processor Open
Measurement has a special role in quantum theory 1 : by collapsing the wavefunction it can enable phenomena such as teleportation 2 and thereby alter the "arrow of time" that constrains unitary evolution. When integrated in many-body dynam…
View article: Measurement-induced entanglement and teleportation on a noisy quantum processor
Measurement-induced entanglement and teleportation on a noisy quantum processor Open
Measurement has a special role in quantum theory: by collapsing the wavefunction it can enable phenomena such as teleportation and thereby alter the "arrow of time" that constrains unitary evolution. When integrated in many-body dynamics, …