Hybrid simulation of the 2-qubit quantum kicked top on IBMQ shows periodic evolution and chaos signatures in time-averaged entanglement, with gate count independent of kick number.
Decomposition of quantum gates
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abstract
A recurrence scheme is presented to decompose an $n$-qubit unitary gate to the product of no more than $N(N-1)/2$ single qubit gates with small number of controls, where $N = 2^n$. Detailed description of the recurrence steps and formulas for the number of $k$-controlled single qubit gates in the decomposition are given. Comparison of the result to a previous scheme is presented, and future research directions are discussed.
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quant-ph 1years
2021 1verdicts
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Simulating quantum chaos on a quantum computer
Hybrid simulation of the 2-qubit quantum kicked top on IBMQ shows periodic evolution and chaos signatures in time-averaged entanglement, with gate count independent of kick number.