Exponentially accurate open quantum simulation via randomized dissipation with minimal ancilla

arXiv:2412.19453 · quant-ph · Submitted 2024-12-27 · Read on arXiv

quant-ph

Submitted: 2024-12-27

Updated: 2026-09-21

Comments: Final version, add new analytical and numerical results

Journal ref: PRX Quantum 7, 033046 (2026)

DOI: 10.1103/91yq-swlv

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Ancilla Qubits — 63× in this paper · explained in 1 episode
• Quantum Circuits — 36× in this paper · explained in 2 episodes
• Accuracy — 33× in this paper · explained in 1 episode
• Lindblad Dynamics — 13× in this paper · explained in 2 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Block Encoding — 9× in this paper · explained in 4 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Unitary Dynamics — 3× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Curse of Dimensionality — 1× in this paper · explained in 6 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Lindblad master equation — 1× in this paper · explained in 2 episodes
• Post-Selection — 1× in this paper · explained in 2 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes

Sources

• Simulating open quantum many-body systems using optimised circuits in digital quantum simulation
• Quantum Thermal State Preparation
• A Randomized Method for Simulating Lindblad Equations and Thermal State Preparation
• Tensor networks and graphical calculus for open quantum systems
• Exponentially reduced circuit depths in Lindbladian simulation
• An inequality for the trace of matrix products, using absolute values
• Hamiltonian Simulation Using Linear Combinations of Unitary Operations

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• Theory of quantum-enhanced interferometry with general Markovian light sources
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