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Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
That bulk logical operators can be represented on multiple boundary regions mimics the Rindlerwedge reconstruction of boundary operators from bulk operators, realizing explicitly the quantum error-correcting features of AdS/CFT recently proposed in .
Chaos in quantum channels
The butterfly effect in quantum systems implies the information-theoretic definition of scrambling, which shows that any input subsystem must have near vanishing mutual information with almost all partitions of the output.
Chaos and complexity by design
A bstractWe study the relationship between quantum chaos and pseudorandomness by developing probes of unitary design. A natural probe of randomness is the “frame poten-tial,” which is minimized by…
Efficient decoding for the Hayden-Preskill protocol
Two particular decoding procedures for reconstructing a quantum state from the Hawking radiation in the Hayden-Preskill thought experiment are presented, where the decay of out-of-time-order correlators (OTOCs) guarantees faithful state recovery.
Chaos, complexity, and random matrices
A bstractChaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution…
Exotic topological order in fractal spin liquids
- B. Yoshida
- 25 February 2013
We present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory.…
Disentangling Scrambling and Decoherence via Quantum Teleportation
This work analyzes a quantum teleportation protocol that explicitly enables one to differentiate between scrambling and decoherence, and demonstrates that within this protocol, one can extract a precise "noise" parameter which quantitatively captures the non-scrambling induced decay of OTOCs.
Holographic complexity equals which action?
- Kanato Goto, H. Marrochio, R. Myers, Leonel Queimada, B. Yoshida
- PhysicsJournal of High Energy Physics
- 31 December 2018
A bstractWe revisit the complexity = action proposal for charged black holes. We investigate the complexity for a dyonic black hole, and we find the surprising feature that the late-time growth is…
Topological phases with generalized global symmetries
- B. Yoshida
- 14 August 2015
We present simple lattice realizations of symmetry-protected topological phases with q-form global symmetries where charged excitations have q spatial dimensions. Specifically, we construct d…