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Efficient simulation of a pair of dissipative qubits antiferromagnetically coupled
Francesco G Capone1,2, Giulio De Filippis2,3, Vittorio Cataudella2,3
1Università di Napoli Federico II, Dipartimento di Fisica "E. Pancini," , Complesso Universitario di Monte Sant'Angelo, via Cintia, 80126 Napoli, Italy.
Physical Review. E
|June 19, 2026
Summary
The Kandel-Domany approach is highly effective for simulating dissipative quantum qubits, outperforming conventional methods like Swendsen-Wang for antiferromagnetically coupled qubits in noisy environments.
Area of Science:
- Quantum physics
- Computational physics
- Condensed matter theory
Background:
- Simulating quantum systems, particularly those with dissipation, is computationally challenging.
- Antiferromagnetically coupled qubits in dissipative environments are relevant to quantum information processing.
Purpose of the Study:
- To compare the efficiency of different quantum Monte Carlo simulation methods for a pair of antiferromagnetically coupled qubits.
- To identify optimal simulation strategies for dissipative quantum systems.
Main Methods:
- Mapping the qubit system to a frustrated long-range double-chain Ising lattice using Trotter-Suzuki decomposition.
- Analyzing the efficiency of Swendsen-Wang and Kandel-Domany approaches.
- Utilizing analytic and numerical methods to partition the lattice and analyze autocorrelation times.
Main Results:
- The conventional Swendsen-Wang approach shows severe inefficiency due to frustration and spin correlation mismatches.
- The Kandel-Domany approach proves highly effective for studying dissipative quantum qubits.
- Long-range plaquette decompositions are more efficient than local ones, particularly under high dissipation.
Conclusions:
- The Kandel-Domany method offers a superior simulation strategy for dissipative quantum qubit systems.
- Lattice partitioning strategies significantly impact simulation efficiency, with long-range approaches being advantageous.
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