Quantum Simulation via Stochastic Combination of Unitaries
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910548036157440 |
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| author | Peetz, Joseph Smart, Scott E. Narang, Prineha |
| author_facet | Peetz, Joseph Smart, Scott E. Narang, Prineha |
| contents | Quantum simulation algorithms often require numerous ancilla qubits and deep circuits, prohibitive for near-term hardware. We introduce a framework for simulating quantum channels using ensembles of low-depth circuits in place of many-qubit dilations. This naturally enables simulations of open systems, which we demonstrate by preparing damped many-qubit GHZ states on ibm_hanoi. The technique further inspires two Hamiltonian simulation algorithms with asymptotic independence of the spectral precision, reducing resource requirements by several orders of magnitude for a benchmark system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Simulation via Stochastic Combination of Unitaries Peetz, Joseph Smart, Scott E. Narang, Prineha Quantum Physics Quantum simulation algorithms often require numerous ancilla qubits and deep circuits, prohibitive for near-term hardware. We introduce a framework for simulating quantum channels using ensembles of low-depth circuits in place of many-qubit dilations. This naturally enables simulations of open systems, which we demonstrate by preparing damped many-qubit GHZ states on ibm_hanoi. The technique further inspires two Hamiltonian simulation algorithms with asymptotic independence of the spectral precision, reducing resource requirements by several orders of magnitude for a benchmark system. |
| title | Quantum Simulation via Stochastic Combination of Unitaries |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.21095 |