# Generalized Limits for Single-Parameter Quantum Estimation

## Abstract

We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multisystem interactions. For a Hamiltonian with k-system parameter-sensitive terms, the quantum limit scales as 1/N{sup k}, where N is the number of systems. These quantum limits remain valid when the Hamiltonian is augmented by any parameter-independent interaction among the systems and when adaptive measurements via parameter-independent coupling to ancillas are allowed.

- Authors:

- Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131 (United States)

- Publication Date:

- OSTI Identifier:
- 20957690

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevLett.98.090401; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; HAMILTONIANS; INTERACTIONS; QUANTUM FIELD THEORY; QUANTUM MECHANICS

### Citation Formats

```
Boixo, Sergio, Flammia, Steven T., Caves, Carlton M., and Geremia, JM.
```*Generalized Limits for Single-Parameter Quantum Estimation*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.090401.

```
Boixo, Sergio, Flammia, Steven T., Caves, Carlton M., & Geremia, JM.
```*Generalized Limits for Single-Parameter Quantum Estimation*. United States. doi:10.1103/PHYSREVLETT.98.090401.

```
Boixo, Sergio, Flammia, Steven T., Caves, Carlton M., and Geremia, JM. Fri .
"Generalized Limits for Single-Parameter Quantum Estimation". United States.
doi:10.1103/PHYSREVLETT.98.090401.
```

```
@article{osti_20957690,
```

title = {Generalized Limits for Single-Parameter Quantum Estimation},

author = {Boixo, Sergio and Flammia, Steven T. and Caves, Carlton M. and Geremia, JM},

abstractNote = {We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multisystem interactions. For a Hamiltonian with k-system parameter-sensitive terms, the quantum limit scales as 1/N{sup k}, where N is the number of systems. These quantum limits remain valid when the Hamiltonian is augmented by any parameter-independent interaction among the systems and when adaptive measurements via parameter-independent coupling to ancillas are allowed.},

doi = {10.1103/PHYSREVLETT.98.090401},

journal = {Physical Review Letters},

number = 9,

volume = 98,

place = {United States},

year = {Fri Mar 02 00:00:00 EST 2007},

month = {Fri Mar 02 00:00:00 EST 2007}

}

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