Journal
PHYSICAL REVIEW A
Volume 91, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.012331
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Funding
- EPSRC [EP/K022512/1]
- Leverhulme Trust
- Australian Research Council via the Centre of Excellence in Engineered Quantum Systems (EQuS) [CE110001013]
- Engineering and Physical Sciences Research Council [EP/K022512/1] Funding Source: researchfish
- EPSRC [EP/K022512/1] Funding Source: UKRI
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Distinguishing hot from cold is the most primitive form of thermometry. Here we consider how well this task can be performed using a single qubit to distinguish between two different temperatures of a bosonic bath. In this simple setting, we find that letting the qubit equilibrate with the bath is not optimal, and depending on the interaction time it may be advantageous for the qubit to start in a state with some quantum coherence. We also briefly consider the case that the qubit is initially entangled with a second qubit that is not put into contact with the bath and show that entanglement allows for even better thermometry.
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