Wisconsin Quantum Institute

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Simulation of some Open Quantum Systems on Near-term Quantum Computers
Date: Tuesday, May 3rd
Time: 11:00 am
Place: virtual, for joining info see:
Speaker: Barbara A. Jones, Quantum Applications in Physical and Life Sciences, IBM Research Almaden
Abstract: Open quantum systems are everywhere in real life, whether it is systems exposed to temperature, electric field, or anything that causes dissipation and/or driving. I will be describing a few such systems that we have simulated on quantum computing hardware, which turns out to be an excellent platform for such simulations. In the first, we use the dissipation naturally occurring in superconducting qubits to map to the heat and relaxation-caused dissipation in an experimental system. This system is one of radical pairs of molecules in solution, caused by excitation of the solution with a radiation burst. The system oscillates between singlet and triplet, with a decay constant at high and low field that we map to that of the quantum computer. We get excellent agreement with experimental results out to many time steps.[1) The second set of hardware experiments were done on a model system, the Hubbard model, in two limiting cases.[2] In the noninteracting, infinite system, we are able to perform 1000 Trotter steps without decay of the measured quantity, a calculation that involved hundreds of CNOT gates. This illustrates the potential for such driven, dissipative system for simulation on a quantum computer. In the second version of the Hubbard model, we go to the opposite limit, and look at the Hubbard ‘atom” in a magnetic field and finite temperature. We are able to calculate quite accurately several physical properties of this system. I will conclude with some remarks about the promise of open quantum systems and of quantum computing in general.
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