Quantum tasks assisted by quantum noise
- URL: http://arxiv.org/abs/2308.10969v1
- Date: Mon, 21 Aug 2023 18:29:23 GMT
- Title: Quantum tasks assisted by quantum noise
- Authors: Chuqiao Lin, Vir B. Bulchandani, Shivaji L. Sondhi
- Abstract summary: We apply formalism to the specific problem of playing the parity game with ground states of the random transverse-field Ising model.
We find that adding zero-mean, uncorrelated disorder to the transverse fields can generate a weak quantum advantage that would not exist in the absence of noise.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We introduce a notion of expected utility for quantum tasks and discuss some
general conditions under which this is increased by the presence of quantum
noise in the underlying resource states. We apply the resulting formalism to
the specific problem of playing the parity game with ground states of the
random transverse-field Ising model. This demonstrates a separation in the
ground-state phase diagram between regions where rational players will be
``risk-seeking'' or ``risk-averse'', depending on whether they win the game
more or less often in the presence of disorder. The boundary between these
regions depends non-universally on the correlation length of the disorder.
Strikingly, we find that adding zero-mean, uncorrelated disorder to the
transverse fields can generate a weak quantum advantage that would not exist in
the absence of noise.
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