Exact analytic toolbox for quantum dynamics with tunable noise strength

M Okyay, O Hart, R Nandkishore… - arxiv preprint arxiv …, 2024 - arxiv.org
We introduce a framework that allows for the exact analytic treatment of quantum dynamics
subject to coherent noise. The noise is modeled via unitary evolution under a Hamiltonian …

Braiding for the win: Harnessing braiding statistics in topological states to win quantum games

O Hart, DT Stephen, DJ Williamson… - arxiv preprint arxiv …, 2024 - arxiv.org
Nonlocal quantum games provide proof of principle that quantum resources can confer
advantage at certain tasks. They also provide a compelling way to explore the computational …

Nash states versus eigenstates for many-body quantum systems

C Lin, VB Bulchandani, SL Sondhi - arxiv preprint arxiv:2405.21011, 2024 - arxiv.org
Eigenstates of observables such as the Hamiltonian play a central role in quantum
mechanics. Inspired by the pure Nash equilibria that arise in classical game theory, we …

Duality between string and computational order in symmetry-enriched topological phases

P Herringer, VB Bulchandani, Y Javanmard… - arxiv preprint arxiv …, 2024 - arxiv.org
We present the first examples of topological phases of matter with uniform power for
measurement-based quantum computation. This is possible thanks to a new framework for …

Quantum algorithms for classical Boolean functions via adaptive measurements: Exponential reductions in space-time resources

AK Daniel, A Miyake - arxiv preprint arxiv:2211.01252, 2022 - arxiv.org
The limited computational power of constant-depth quantum circuits can be boosted by
adapting future gates according to the outcomes of mid-circuit measurements. We formulate …

Playing nonlocal games across a topological phase transition on a quantum computer

O Hart, DT Stephen, DJ Williamson… - arxiv preprint arxiv …, 2024 - arxiv.org
Many-body quantum games provide a natural perspective on phases of matter in quantum
hardware, crisply relating the quantum correlations inherent in phases of matter to the …