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Paper 1
Architecting a reliable quantum operating system: microkernel, message passing and supercomputing
Alexandru Paler
- Year
- 2024
- Journal
- arXiv preprint
- DOI
- arXiv:2410.13482
- arXiv
- 2410.13482
A quantum operating system (QCOS) is a classic software running on classic hardware. The QCOS is preparing, starting, controlling and managing quantum computations. The reliable execution of fault-tolerant quantum computations will require the QCOS to be as reliable and fault-tolerant as the computation itself. In the following, we discuss why a QCOS should be architected according to the following principles: 1) using a microkernel; 2) the components are working in an aggregated, non-stacked manner and communicate by message passing; 3) the components are executed by default on supercomputers, unless there are very good reasons not to. These principles can guarantee that the execution of error-corrected, fault-tolerant quantum computation is not vulnerable to the failures of the QCOS.
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Quantum Simulation of Nonlinear Dynamical Systems Using Repeated Measurement
Joseph Andress, Alexander Engel, Yuan Shi, Scott Parker
- Year
- 2024
- Journal
- arXiv preprint
- DOI
- arXiv:2410.03838
- arXiv
- 2410.03838
We present a quantum algorithm based on repeated measurement to solve initial-value problems for nonlinear ordinary differential equations (ODEs), which may be generated from partial differential equations in plasma physics. We map a dynamical system to a Hamiltonian form, where the Hamiltonian matrix is a function of dynamical variables. To advance in time, we measure expectation values from the previous time step, and evaluate the Hamiltonian function classically, which introduces stochasticity into the dynamics. We then perform standard quantum Hamiltonian simulation over a short time, using the evaluated constant Hamiltonian matrix. This approach requires evolving an ensemble of quantum states, which are consumed each step to measure required observables. We apply this approach to the classic logistic and Lorenz systems, in both integrable and chaotic regimes. Out analysis shows that solutions' accuracy is influenced by both the stochastic sampling rate and the nature of the dynamical system.
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