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20182025
most citedToy Models of Holographic Duality between local Hamiltonians

37 citations · 105 across the 12 of their papers we have counts for

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8 papers · 1 filter

quant-ph2025

Robust Lindbladian Estimation for Quantum Dynamics

Yinchen Liu, James R. Seddon, Tamara Kohler +2

We revisit the problem of fitting Lindbladian models to the outputs of quantum process tomography. A sequence of prior theoretical works approached the problem by considering wheth…

quant-ph2024★ 2 cited

Security of quantum position-verification limits Hamiltonian simulation via holography

Harriet Apel, Toby Cubitt, Patrick Hayden +2

We investigate the link between quantum position-verification (QPV) and holography established in [MPS19] using holographic quantum error correcting codes as toy models. By inserti…

quant-ph2023

Gapped Clique Homology on weighted graphs is -hard and contained in

Robbie King, Tamara Kohler

We study the complexity of a classic problem in computational topology, the homology problem: given a description of some space and an integer , decide if contains a …

quant-ph2023★ 1 cited

Fitting time-dependent Markovian dynamics to noisy quantum channels

Emilio Onorati, Tamara Kohler, Toby S. Cubitt

Understanding how to characterise and mitigate errors is a key challenge in developing reliable quantum architecture for near-term applications. Recent work (arXiv:2103.17243) prov…

quant-ph2022★ 9 cited

Clique Homology is QMA1-hard

Marcos Crichigno, Tamara Kohler

We tackle the long-standing question of the computational complexity of determining homology groups of simplicial complexes, a fundamental task in computational topology, posed by…

quant-ph2021★ 13 cited

Fitting quantum noise models to tomography data

Emilio Onorati, Tamara Kohler, Toby S. Cubitt

The presence of noise is currently one of the main obstacles to achieving large-scale quantum computation. Strategies to characterise and understand noise processes in quantum hard…

quant-ph2021★ 14 cited

General conditions for universality of Quantum Hamiltonians

Tamara Kohler, Stephen Piddock, Johannes Bausch +1

Recent work has demonstrated the existence of universal Hamiltonians - simple spin lattice models that can simulate any other quantum many body system to any desired level of accur…

quant-ph2020★ 6 cited

Translationally-Invariant Universal Quantum Hamiltonians in 1D

Tamara Kohler, Stephen Piddock, Johannes Bausch +1

Recent work has characterised rigorously what it means for one quantum system to simulate another, and demonstrated the existence of universal Hamiltonians -- simple spin lattice H…