261 citations · 783 across the 21 of their papers we have counts for
23 papers
Finite-bath projected ensembles in dual-unitary circuits
Rahul Arvind, Nicholas Hunter-Jones
We study the emergent randomness in projected ensembles generated by dual-unitary circuits. Specifically, we consider evolution by solvable dual-unitary brickwork circuits followed…
Local random quantum circuits converge to the Porter-Thomas distribution in polynomial depth
Aniruddha Sen, Nicholas Hunter-Jones
Porter-Thomas statistics are a characteristic feature of the output distribution of random quantum states and, more broadly, chaotic quantum many-body systems. Convergence to Porte…
Quantum Complexity Dynamics for Disjoint Subsystems
Yale Fan, Nicholas Hunter-Jones, Andreas Karch +2
Quantum complexity has emerged as a natural probe of chaos, thermalization, and the black hole interior on timescales long after local observables have equilibrated. However, its t…
Ideal random quantum circuits pass the LXEB test
Nicholas Hunter-Jones, Jonas Haferkamp
We show that noiseless random quantum circuits pass the linear cross-entropy benchmark (LXEB) test with high probability. If the circuits are linear depth, and thus form unitary 4-…
Randomization Times under Quantum Chaotic Hamiltonian Evolution
Souradeep Ghosh, Nicholas Hunter-Jones, Joaquin F. Rodriguez-Nieva
Randomness generation through quantum-chaotic evolution underpins foundational questions in statistical mechanics and applications across quantum information science, including ben…
Sharp Transitions for Subsystem Complexity
Yale Fan, Nicholas Hunter-Jones, Andreas Karch +1
The circuit complexity of time-evolved pure quantum states grows linearly in time for an exponentially long time. This behavior has been proven in certain models, is conjectured to…
Two classes of quantum spin systems that are gapped on any bounded-degree graph
Nicholas Hunter-Jones, Marius Lemm
We study translation-invariant quantum spin Hamiltonians on general graphs with non-commuting interactions either given by (i) a random rank- projection or (ii) Haar projectors.…
Demonstrating an unconditional separation between quantum and classical information resources
William Kretschmer, Sabee Grewal, Matthew DeCross +8
A longstanding goal in quantum information science is to demonstrate quantum computations that cannot be feasibly reproduced on a classical computer. Such demonstrations mark major…
Late-time ensembles of quantum states in quantum chaotic systems
Souradeep Ghosh, Christopher M. Langlett, Nicholas Hunter-Jones +1
We study the universal structure of late-time ensembles obtained from unitary dynamics in quantum chaotic systems with symmetries, such as charge or energy conservation. We find th…
Local random quantum circuits form approximate designs on arbitrary architectures
Shivan Mittal, Nicholas Hunter-Jones
We consider random quantum circuits (RQC) on arbitrary connected graphs whose edges determine the allowed -qudit interactions. Prior work has established that such -qudit cir…
Saturation and recurrence of quantum complexity in random local quantum dynamics
Michał Oszmaniec, Marcin Kotowski, Michał Horodecki +1
Quantum complexity is a measure of the minimal number of elementary operations required to approximately prepare a given state or unitary channel. Recently, this concept has found…
Random quantum circuits transform local noise into global white noise
Alexander M. Dalzell, Nicholas Hunter-Jones, Fernando G. S. L. Brandão
We study the distribution over measurement outcomes of noisy random quantum circuits in the low-fidelity regime. We show that, for local noise that is sufficiently weak and unital,…
Improved spectral gaps for random quantum circuits: large local dimensions and all-to-all interactions
Jonas Haferkamp, Nicholas Hunter-Jones
Random quantum circuits are a central concept in quantum information theory with applications ranging from demonstrations of quantum computational advantage to descriptions of scra…
Fluctuations of subsystem entropies at late times
Jordan Cotler, Nicholas Hunter-Jones, Daniel Ranard
We study the fluctuations of subsystem entropies in closed quantum many-body systems after thermalization. Using a combination of analytics and numerics for both random quantum cir…
Random quantum circuits anti-concentrate in log depth
Alexander M. Dalzell, Nicholas Hunter-Jones, Fernando G. S. L. Brandão
We consider quantum circuits consisting of randomly chosen two-local gates and study the number of gates needed for the distribution over measurement outcomes for typical circuit i…
Models of quantum complexity growth
Fernando G. S. L. Brandão, Wissam Chemissany, Nicholas Hunter-Jones +2
The concept of quantum complexity has far-reaching implications spanning theoretical computer science, quantum many-body physics, and high energy physics. The quantum complexity of…
Spectral decoupling in many-body quantum chaos
Jordan Cotler, Nicholas Hunter-Jones
We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specific…
Unitary designs from statistical mechanics in random quantum circuits
Nicholas Hunter-Jones
Random quantum circuits are proficient information scramblers and efficient generators of randomness, rapidly approximating moments of the unitary group. We study the convergence o…
Operator growth in random quantum circuits with symmetry
Nicholas Hunter-Jones
We study random quantum circuits with symmetry, where the local 2-site unitaries are drawn from a quotient or subgroup of the full unitary group . Random quantum circuits are…
Chaos and random matrices in supersymmetric SYK
Nicholas Hunter-Jones, Junyu Liu
We use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random mat…
On thermalization in the SYK and supersymmetric SYK models
Nicholas Hunter-Jones, Junyu Liu, Yehao Zhou
The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Althoug…
Chaos, Complexity, and Random Matrices
Jordan Cotler, Nicholas Hunter-Jones, Junyu Liu +1
Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time…
Consistency Conditions for an AdS/MERA Correspondence
Ning Bao, ChunJun Cao, Sean M. Carroll +4
The Multi-scale Entanglement Renormalization Ansatz (MERA) is a tensor network that provides an efficient way of variationally estimating the ground state of a critical quantum sys…