250 citations · 915 across the 15 of their papers we have counts for
15 papers
Fast and converged classical simulations of evidence for the utility of quantum computing before fault tolerance
Tomislav Begušić, Johnnie Gray, Garnet Kin-Lic Chan
A recent quantum simulation of observables of the kicked Ising model on 127 qubits implemented circuits that exceed the capabilities of exact classical simulation. We show that sev…
One-step replica symmetry breaking in the language of tensor networks
Nicola Pancotti, Johnnie Gray
We develop an exact mapping between the one-step replica symmetry breaking cavity method and tensor networks. The two schemes come with complementary mathematical and numerical too…
Arithmetic circuit tensor networks, multivariable function representation, and high-dimensional integration
Ruojing Peng, Johnnie Gray, Garnet Kin-Lic Chan
Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer…
Is there evidence for exponential quantum advantage in quantum chemistry?
Seunghoon Lee, Joonho Lee, Huanchen Zhai +15
The idea to use quantum mechanical devices to simulate other quantum systems is commonly ascribed to Feynman. Since the original suggestion, concrete proposals have appeared for si…
Hyper-optimized approximate contraction of tensor networks with arbitrary geometry
Johnnie Gray, Garnet Kin-Lic Chan
Tensor network contraction is central to problems ranging from many-body physics to computer science. We describe how to approximate tensor network contraction through bond compres…
Using hyper-optimized tensor networks and first-principles electronic structure to simulate experimental properties of the giant {Mn84} torus
Dian-Teng Chen, Phillip Helms, Ashlyn R. Hale +7
The single-molecule magnet {Mn84} is a challenge to theory due to its high nuclearity. Building on our prior work which characterized the structure of the spectrum of this magnet,…
The Variational Power of Quantum Circuit Tensor Networks
Reza Haghshenas, Johnnie Gray, Andrew C. Potter +1
We characterize the variational power of quantum circuit tensor networks in the representation of physical many-body ground-states. Such tensor networks are formed by replacing the…
Efficient Quantum State Sample Tomography with Basis-dependent Neural-networks
Alistair W. R. Smith, Johnnie Gray, M. S. Kim
We use a meta-learning neural-network approach to analyse data from a measured quantum state. Once our neural network has been trained it can be used to efficiently sample measurem…
Quantum Delocalised-Interactions
A. J. Paige, Hyukjoon Kwon, Selwyn Simsek +3
Classical mechanics obeys the intuitive logic that a physical event happens at a definite spatial point. Entanglement however, breaks this logic by enabling interactions without a…
Hyper-optimized tensor network contraction
Johnnie Gray, Stefanos Kourtis
Tensor networks represent the state-of-the-art in computational methods across many disciplines, including the classical simulation of quantum many-body systems and quantum circuit…
Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
Johnnie Gray, Abolfazl Bayat, Arijeet Pal +1
The exact nature of the many-body localization transition remains an open question. An aspect which has been posited in various studies is the emergence of scale invariance around…
Fast Computation of Many-Body Entanglement
Johnnie Gray
Mixed state entanglement measures can act as a versatile probes of many-body systems. However, they are generally hard to compute, often relying on tricky optimizations. One measur…
Machine Learning Assisted Many-Body Entanglement Measurement
Johnnie Gray, Leonardo Banchi, Abolfazl Bayat +1
Entanglement not only plays a crucial role in quantum technologies, but is key to our understanding of quantum correlations in many-body systems. However, in an experiment, the onl…
Many-body Localization Transition: Schmidt Gap, Entanglement Length & Scaling
Johnnie Gray, Sougato Bose, Abolfazl Bayat
Many-body localization has become an important phenomenon for illuminating a potential rift between non-equilibrium quantum systems and statistical mechanics. However, the nature o…
Unravelling Quantum Dot Array Simulators via Singlet-Triplet Measurements
Johnnie Gray, Abolfazl Bayat, Reuben K. Puddy +2
Recently, singlet-triplet measurements in double dots have emerged as a powerful tool in quantum information processing. In parallel, quantum dot arrays are being envisaged as anal…