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IQIM Postdoctoral and Graduate Student Seminar

Wednesday, January 11, 2023
11:00am to 12:00pm
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Online Event
Crystalline Quantum Circuits
Grace Sommers, Princeton University,

Joint IQIM/AWS Seminar

Abstract: Random quantum circuits continue to inspire a wide range of applications in quantum information science, while remaining analytically tractable through probabilistic methods. Motivated by the need for deterministic circuits with similar applications, we construct classes of nonrandom unitary Clifford circuits by imposing translation invariance in both time and space. Further imposing dual-unitarity, our circuits effectively become crystalline lattices whose vertices are SWAP or iSWAP cores and whose edges are decorated with single-qubit gates. Working on the square and kagome lattice, one can further impose invariance under (subgroups of) the crystal's point group. We use the formalism of Clifford quantum cellular automata to describe operator spreading, entanglement generation, and recurrence times of these circuits. A full classification on the square lattice reveals, of particular interest, a "non-fractal good scrambling class" with dense operator spreading that generates codes with linear contiguous code distance and high performance under erasure errors at the end of the circuit. We also break unitarity by adding spacetime-translation-invariant measurements and find a class of circuits with fractal dynamics.

This week's seminar will be presented on zoom only:

Meeting ID: 884 0762 7311
Passcode: 932356

For more information, please contact Marcia Brown by phone at 626-395-4013 or by email at [email protected].