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Title: Dynamical topological phase realized in a trapped-ion quantum simulator

Journal Article · · Nature (London)
ORCiD logo [1];  [2];  [2];  [2];  [2];  [3];  [2];  [4]; ORCiD logo [5]
  1. Flatiron Institute, New York, NY (United States)
  2. Quantinuum, Broomfield, CO (United States)
  3. Univ. of Texas, Austin, TX (United States)
  4. Univ. of Massachusetts, Amherst, MA (United States)
  5. Univ. of Texas, Austin, TX (United States); Univ. of British Columbia, Vancouver, BC (Canada)

Nascent platforms for programmable quantum simulation offer unprecedented access to new regimes of far-from-equilibrium quantum many-body dynamics in almost isolated systems. Here achieving precise control over quantum many-body entanglement is an essential task for quantum sensing and computation. Extensive theoretical work indicates that these capabilities can enable dynamical phases and critical phenomena that show topologically robust methods to create, protect and manipulate quantum entanglement that self-correct against large classes of errors. However, so far, experimental realizations have been confined to classical (non-entangled) symmetry-breaking orders. In this work, we demonstrate an emergent dynamical symmetry-protected topological phase, in a quasiperiodically driven array of ten 171Yb+ hyperfine qubits in Quantinuum’s System Model H1 trapped-ion quantum processor. This phase shows edge qubits that are dynamically protected from control errors, cross-talk and stray fields. Crucially, this edge protection relies purely on emergent dynamical symmetries that are absolutely stable to generic coherent perturbations. Here, this property is special to quasiperiodically driven systems: as we demonstrate, the analogous edge states of a periodically driven qubit array are vulnerable to symmetry-breaking errors and quickly decohere. Our work paves the way for implementation of more complex dynamical topological orders that would enable error-resilient manipulation of quantum information.

Research Organization:
Univ. of Massachusetts, Amherst, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
SC0019168
OSTI ID:
1974337
Journal Information:
Nature (London), Vol. 607, Issue 7919; ISSN 0028-0836
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

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