Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Information Scrambling Through a High-Complexity Operator
  Mapping   Quantum information scrambling has attracted much attention amid the effort
to reconcile the conflict between quantum-mechanical unitarity and the
thermalizaiton-irreversibility in many-body systems. Here we propose an
unconventional mechanism to generate quantum information scrambling through a
high-complexity mapping from logical to physical degrees-of-freedom that hides
the logical information into non-separable many-body-correlations.
Corresponding to this mapping, we develop an algorithm to efficiently sample a
Slater-determinant wavefunction and compute all physical observables in
dynamics with a polynomial cost in system-size. The system shows information
scrambling in the quantum many-body Hilbert space characterized by the
spreading of Hamming-distance. At late time, we find emergence of classical
diffusion dynamics in this quantum many-body system. We establish that the
operator-mapping enabled growth in out-of-time-order-correlator exhibits
exponential-scrambling behavior. The quantum information-hiding mapping
approach may shed light on the understanding of fundamental connections among
computational complexity, information scrambling and quantum thermalization.

9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph