dorsal/arxiv
View SchemaLocal and Global Distinguishability in Quantum Interferometry
| Authors | Gabriel A. Durkin, Jonathan P. Dowling |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607088 |
| URL | https://arxiv.org/abs/quant-ph/0607088 |
| DOI | 10.1103/PhysRevLett.99.070801 |
Abstract
A statistical distinguishability based on relative entropy characterises the fitness of quantum states for phase estimation. This criterion is employed in the context of a Mach-Zehnder interferometer and used to interpolate between two regimes, of local and global phase distinguishability. The scaling of distinguishability in these regimes with photon number is explored for various quantum states. It emerges that local distinguishability is dependent on a discrepancy between quantum and classical rotational energy. Our analysis demonstrates that the Heisenberg limit is the true upper limit for local phase sensitivity. Only the `NOON' states share this bound, but other states exhibit a better trade-off when comparing local and global phase regimes.
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"abstract": "A statistical distinguishability based on relative entropy characterises the\nfitness of quantum states for phase estimation. This criterion is employed in\nthe context of a Mach-Zehnder interferometer and used to interpolate between\ntwo regimes, of local and global phase distinguishability. The scaling of\ndistinguishability in these regimes with photon number is explored for various\nquantum states. It emerges that local distinguishability is dependent on a\ndiscrepancy between quantum and classical rotational energy. Our analysis\ndemonstrates that the Heisenberg limit is the true upper limit for local phase\nsensitivity. Only the `NOON\u0027 states share this bound, but other states exhibit\na better trade-off when comparing local and global phase regimes.",
"arxiv_id": "quant-ph/0607088",
"authors": [
"Gabriel A. Durkin",
"Jonathan P. Dowling"
],
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"quant-ph"
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"doi": "10.1103/PhysRevLett.99.070801",
"title": "Local and Global Distinguishability in Quantum Interferometry",
"url": "https://arxiv.org/abs/quant-ph/0607088"
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