Parametrized multiqubit gate design for neutral-atom based quantum platforms

Abstract

A clever choice and design of gate sets can reduce the depth of a quantum circuit, and can improve the quality of the solution one obtains from a quantum algorithm. This is especially important for near-term quantum computers that suffer from various sources of error that propagate with the circuit depth. Parametrized gates in particular have found use in both near-term algorithms and circuit compilation. The one- and two-qubit versions of these gates have been demonstrated on various computing architectures. The neutral atom platform has the capability to implement native $N$-qubit gates (for $N\ge 2$). However, one needs to first find the control functions that implement these gates on the hardware. We study the numerical optimization of neural networks towards obtaining families of controls $-$ laser pulses to excite an atom to Rydberg states $-$ that implement phase gates with one and two controls, the ${\mathrm{C}}_1\mathrm{P}$ and ${\mathrm{C}}_2\mathrm{P}$ gates respectively, on neutral atom hardware. The pulses we obtain have a duration significantly shorter than the loss time scale, set by decay from the Rydberg state. Further, they do not require single-site addressability and are smooth. Hence, we expect our gates to have immediate benefits for quantum algorithms implemented on current neutral atom hardware.

12 pages, 6 figures

References in corpus (7)

• Logical quantum processor based on reconfigurable atom arrays
• Fidelity of quantum operations
• Multi-qubit gates and Schrödinger cat states in an optical clock
• Single-step implementation of high fidelity $n$-bit Toffoli gate
• Benchmarking and fidelity response theory of high-fidelity Rydberg entangling gates
• Multi-controlled Phase Gate Synthesis with ZX-calculus applied to Neutral Atom Hardware
• Pulse family optimization for parametrized quantum gates using spectral clustering

Cited by in corpus (3)

• Splitting of the three-body Förster resonance in Rb Rydberg atoms as a measure of dipole-dipole interaction strength
• Autonomously Designed Pulses for Precise, Site-Selective Control of Atomic Qubits
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation