Shallow-Depth Variational Quantum Hypothesis Testing
- URL: http://arxiv.org/abs/2304.14708v2
- Date: Sat, 2 Mar 2024 07:30:09 GMT
- Title: Shallow-Depth Variational Quantum Hypothesis Testing
- Authors: Mahadevan Subramanian and Sai Vinjanampathy
- Abstract summary: We present a variational quantum algorithm for differentiating several hypotheses encoded as quantum channels.
Both state preparation and measurement are simultaneously optimized using success probability of single-shot discrimination.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a variational quantum algorithm for differentiating several
hypotheses encoded as quantum channels. Both state preparation and measurement
are simultaneously optimized using success probability of single-shot
discrimination as an objective function which can be calculated using localized
measurements. Under constrained signal mode photon number quantum illumination
we match the performance of known optimal 2-mode probes by simulating a bosonic
circuit. Our results show that variational algorithms can prepare optimal
states for binary hypothesis testing with resource constraints. Going beyond
the binary hypothesis testing scenario, we also demonstrate that our
variational algorithm can learn and discriminate between multiple hypotheses.
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