Dynamics of qudit gates and effects of spectator modes on optimal control pulses
arXiv:2207.14006 · doi:10.1103/PhysRevA.109.052404
Abstract
Qudit gates for high-dimensional quantum computing can be synthesized with high precision using numerical quantum optimal control techniques. Large circuits are broken down into modules and the tailored pulses for each module can be used as primitives for a qudit compiler. Application of the pulses of each module in the presence of extra modes may decrease their effectiveness due to crosstalk. In this paper, we address this problem by simulating qudit dynamics for circuit quantum electrodynamics (cQED) systems. As a test case, we take pulses for single-qudit SWAP gates optimized in isolation and then apply them in the presence of spectator modes each of which are in Fock states. We provide an experimentally relevant scaling formula that can be used as a bound on the fidelity decay. Our results show that frequency shift from spectator mode populations has to be of the qudit's nonlinearity in order for high-fidelity single-qudit gates to be useful in the presence of occupied spectator modes.
6 pages, 1 figure. Published in Physical Review A
References in corpus (9)
- Dynamics of Loschmidt echoes and fidelity decay
- A universal qudit quantum processor with trapped ions
- Quantum control of bosonic modes with superconducting circuits
- Demonstration of algorithmic quantum speedup
- Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
- Numerical Gate Synthesis for Quantum Heuristics on Bosonic Quantum Processors
- Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
- Response of a quantum disordered spin system to a local periodic drive
- Neural network accelerator for quantum control