Quantum estimation of the Schwarzschild spacetime parameters of the Earth

被引：66

作者：

Bruschi, David Edward ^{[1
,2
,3
]}

Datta, Animesh ^{[4
]}

Ursin, Rupert ^{[5
,6
]}

Ralph, Timothy C. ^{[7
]}

Fuentes, Ivette ^{[8
]}

机构：

[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel

[2] Hebrew Univ Jerusalem, Quantum Informat Sci Ctr, IL-91904 Jerusalem, Israel

[3] Univ Leeds, Sch Elect & Elect Engn, Leeds LS2 9JT, W Yorkshire, England

[4] Univ Oxford, Dept Phys, Clarendon Lab, Oxford OX1 3PU, England

[5] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-1090 Vienna, Austria

[6] Univ Vienna, Vienna Ctr Quantum Sci & Technol, Fac Phys, A-1090 Vienna, Austria

[7] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

[8] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

PHYSICAL REVIEW D | 2014年 / 90卷 / 12期

基金：

英国工程与自然科学研究理事会; 以色列科学基金会;

关键词：

DISTANCE; LONG; ENTANGLEMENT;

D O I：

10.1103/PhysRevD.90.124001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a quantum experiment to measure with high precision the Schwarzschild spacetime parameters of the Earth. The scheme can also be applied to measure distances by taking into account the curvature of the Earth's spacetime. As a wave packet of (entangled) light is sent from the Earth to a satellite it is redshifted and deformed due to the curvature of spacetime. Measurements after the propagation enable the estimation of the spacetime parameters. We compare our results with the state of the art, which involves classical measurement methods, and discuss what developments are required in space-based quantum experiments to improve on the current measurement of the Schwarzschild radius of the Earth.

引用

页数：10

共 52 条

[1]

Abadie J, 2011, NAT PHYS, V7, P962, DOI [10.1038/nphys2083, 10.1038/NPHYS2083]

[2] Entanglement in continuous-variable systems: recent advances and current perspectives [J].

Adesso, Gerardo ;

Illuminati, Fabrizio .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (28) :7821-7880

[3] Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies [J].

Ahmadi, Mehdi ;

Bruschi, David Edward ;

Sabin, Carlos ;

Adesso, Gerardo ;

Fuentes, Ivette .

SCIENTIFIC REPORTS, 2014, 4

[4] Quantum metrology for relativistic quantum fields [J].

Ahmadi, Mehdi ;

Bruschi, David Edward ;

Fuentes, Ivette .

PHYSICAL REVIEW D, 2014, 89 (06)

[5] Observer-dependent entanglement [J].

Alsing, Paul M. ;

Fuentes, Ivette .

CLASSICAL AND QUANTUM GRAVITY, 2012, 29 (22)

[6]

[Anonymous], 1973, Gravitation

[7] Optimal Quantum Estimation of the Unruh-Hawking Effect [J].

Aspachs, Mariona ;

Adesso, Gerardo ;

Fuentes, Ivette .

PHYSICAL REVIEW LETTERS, 2010, 105 (15)

[8] Experimental quantum key distribution with finite-key security analysis for noisy channels [J].

Bacco, Davide ;

Canale, Matteo ;

Laurenti, Nicola ;

Vallone, Giuseppe ;

Villoresi, Paolo .

NATURE COMMUNICATIONS, 2013, 4

[9] Entanglement in an expanding spacetime [J].

Ball, Jonathan L. ;

Fuentes-Schuller, Ivette ;

Schuller, Frederic P. .

PHYSICS LETTERS A, 2006, 359 (06) :550-554

[10]

Birrell Davies, 1982, Quantum Fields in Curved Space

← 1 2 3 4 5 6 →