Year: 2023
Type: article
Abstract: Near term quantum computers suffer from a degree of decoherence which is prohibitive for high fidelity simulations with deep circuits. An economical use of circuit depth is therefore paramount. For digital quantum simulation of quantum many-body systems, real time evolution is typically achieved by a Trotter decomposition of the time evolution operator into circuits consisting only of two qubit gates. To match the geometry of the physical system and the CNOT connectivity of the quantum processor, additional SWAP gates are needed. We show that optimal fidelity, beyond what is achievable by simple Trotter decompositions for a fixed gate count, can be obtained by compiling the evolution operator into optimal brickwall circuits for the S=1/2 S = 1 / 2 quantum Heisenberg model on chains and ladders, when mapped to one dimensional quantum processors without the need of additional SWAP gates.
Source: SciPost Physics
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
Awards: G1737778600, G2292069225, G5063675077, G575169067, G581057490, QuantERA II ERA-NET Cofund in Quantum Technologies, G5989841040, Mittelfristiges Quantenrechnen aus der Perspektive des Dissipativen Quantenchaos, EXC 2004: Materie und Licht für Quanteninformation (ML4Q), SFB 1143: Korrelierter Magnetismus: Von Frustration zu Topologie, G936330020
OpenAlex ID: W4366168964