Digitizing Gauge Invariant Interactions, II: Quantum Algorithms for SU(2) Gauge Fields and Matter in (1+1)D
ORAL
Abstract
We present scalable quantum algorithms to simulate (1+1)D SU(2) lattice gauge theory in both near-term and far-term quantum resource scenarios. In these scenarios, we compare the cost of the algorithms, along with their development and analysis to that of algorithms for simulating U(1) lattice gauge theory in (1+1)D. This presentation focuses on the gauge-fermion interaction ("hopping") terms, for which the generalization from U(1) to SU(2) is the most involved. We use the block-diagonalized interaction terms for both U(1) and SU(2), as discussed in J. Stryker's presentation, and give quantum algorithms which implement them while conserving the largest possible set of commuting gauge constraints.
*ZD, AFS, and JRS are supported by the U.S. Department of Energy's Office of Science Early Career Award, under award no. DE-SC0020271, for theoretical developments for mapping lattice gauge theories to quantum simulators. AFS is further supported by the QuICS Lanczos Fellowship. ZD is further supported by the U.S. Department of Energy's Office of Science, Office of Advanced Scientific Computing Research, Accelerated Research in Quantum Computing program award DE-SC0020312.
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Presenters
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Alexander Shaw
- University of Maryland - College Park