activity
20182025
most citedToy Models of Holographic Duality between local Hamiltonians

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

collaborators

12 papers

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…

hep-th2024★ 2 cited

Holographic pseudoentanglement and the complexity of the AdS/CFT dictionary

Chris Akers, Adam Bouland, Lijie Chen +3

The `quantum gravity in the lab' paradigm suggests that quantum computers might shed light on quantum gravity by simulating the CFT side of the AdS/CFT correspondence and mapping t…

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…

hep-th2021★ 13 cited

Holographic duality between local Hamiltonians from random tensor networks

Harriet Apel, Tamara Kohler, Toby Cubitt

The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical cons…

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…

hep-th2018★ 37 cited

Toy Models of Holographic Duality between local Hamiltonians

Tamara Kohler, Toby Cubitt

Holographic quantum error correcting codes (HQECC) have been proposed as toy models for the AdS/CFT correspondence, and exhibit many of the features of the duality. HQECC give a ma…

cond-mat.stat-mech2018★ 8 cited

Translationally invariant universal classical Hamiltonians

Tamara Kohler, Toby Cubitt

Spin models are widely studied in the natural sciences, from investigating magnetic materials in condensed matter physics to studying neural networks. Previous work has demonstrate…