Shallow Quantum Circuits for Geometrically Local Lindblad Dynamics
quant-ph
Submitted: 2026-10-04
Updated: 2026-10-04
Comments: 57 pages, 4 figures
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Terminology
Sources
- Quantum Simulators: Architectures and Opportunities
- Elementary gates for quantum computation
- An Open-System Quantum Simulator with Trapped Ions
- Quasi-locality and efficient simulation of Markovian quantum dynamics
- Efficient Distributed Quantum Computing
- Taming Quantum Time Complexity
- On the capacities of bipartite Hamiltonians and unitary gates
- Efficient quantum algorithms for simulating sparse Hamiltonians
- Exponential improvement in precision for simulating sparse Hamiltonians
- Simulating Hamiltonian dynamics with a truncated Taylor series
- Hamiltonian simulation with nearly optimal dependence on all parameters
- Exponential improvement in precision for Hamiltonian-evolution simulation
- Non-stationary coherent quantum many-body dynamics through dissipation
- Query-Optimal and Gate-Efficient Lindbladian Simulation
- Time-Dependent Hamiltonian Simulation with Optimal Query Complexity
- Efficient simulation of sparse Markovian quantum dynamics
- Circuit Transformations for Quantum Architectures
- A Theory of Trotter Error
- Hamiltonian Simulation Using Linear Combinations of Unitary Operations
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