How to Recover a Qubit That Has Fallen Into a Black Hole - INSPIRE

DataBETA

How to Recover a Qubit That Has Fallen Into a Black Hole

Jul 13, 2015

5 pages

Published in:

Phys.Rev.Lett. 115 (2015) 26, 261302

Published: Dec 30, 2015

e-Print:

1507.03592 [hep-th]

DOI:

10.1103/PhysRevLett.115.261302

Report number:

CALT-TH-2015-035

View in:

reference search7 citations

Citations per year

Abstract: (APS)

We demonstrate an algorithm for the retrieval of a qubit, encoded in spin angular momentum, that has been dropped into a no-firewall black hole. Retrieval is achieved analogously to quantum teleportation by collecting Hawking radiation and performing measurements on the black hole. Importantly, these methods require only the ability to perform measurements from outside the event horizon.

Note:

6 pages v2: modified protocol to discuss total angular momentum, corrected typos, added references v3: updated with referee feedback

04.70.Dy
03.67.-a
03.67.Ac
04.60.-m
radiation: Hawking
radiation: emission
black hole
qubit
angular momentum
teleportation

References(19)

Figures(0)

[1]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[2]

Jerusalem Lectures on Black Holes and Quantum Information

Daniel Harlow
(
- Princeton U., CTP
)

- Rev.Mod.Phys. 88 (2016) 015002
•
e-Print:
- 1409.1231
•
DOI:
- 10.1103/RevModPhys.88.015002

[3]

The Stretched horizon and black hole complementarity

- Phys.Rev.D 48 (1993) 3743-3761,
- Phys. Rev. D48 (1993) 3743-3761 and Stanford Univ. - SU-ITP-93-15 (93/06,rec.Jul.) 46 p
•
e-Print:
- hep-th/9306069
•
DOI:
- 10.1103/PhysRevD.48.3743

[4]

Information in black hole radiation

Don N. Page
(
- Alberta U.
)

- Phys.Rev.Lett. 71 (1993) 3743-3746
•
e-Print:
- hep-th/9306083
•
DOI:
- 10.1103/PhysRevLett.71.3743

[5]

Information loss in black holes

S.W. Hawking
(
- Cambridge U., DAMTP
)

- Phys.Rev.D 72 (2005) 084013
•
e-Print:
- hep-th/0507171
•
DOI:
- 10.1103/PhysRevD.72.084013

[6]

An introduction to black holes, information and the string theory revolution: The holographic universe

L. Susskind
,
J. Lindesay

[7]

The Information paradox: A Pedagogical introduction

Samir D. Mathur
(
- Ohio State U.
)

- Class.Quant.Grav. 26 (2009) 224001
•
e-Print:
- 0909.1038
•
DOI:
- 10.1088/0264-9381/26/22/224001

[8]

Information Recovery From Black Holes

Vijay Balasubramanian
(
- Pennsylvania U.
)
,
Donald Marolf
(
- UC, Santa Barbara
)
,
Moshe Rozali
(
- British Columbia U. and
- Perimeter Inst. Theor. Phys.
)

- Gen.Rel.Grav. 38 (2006) 1529-1536,
- Int.J.Mod.Phys.D 15 (2006) 2285-2292
•
e-Print:
- hep-th/0604045
•
DOI:
- 10.1007/s10714-006-0344-8

[9]

Unitarity and Holography in Gravitational Physics

Donald Marolf
(
- UC, Santa Barbara
)

- Phys.Rev.D 79 (2009) 044010
•
e-Print:
- 0808.2842
•
DOI:
- 10.1103/PhysRevD.79.044010

[10]

Time Dependence of Hawking Radiation Entropy

Don N. Page
(
- Alberta U.
)

- JCAP 09 (2013) 028
•
e-Print:
- 1301.4995
•
DOI:
- 10.1088/1475-7516/2013/09/028

[11]

Black holes as mirrors: Quantum information in random subsystems

Patrick Hayden
(
- McGill U.
)
,
John Preskill
(
- Caltech, IQI
)

- JHEP 09 (2007) 120
•
e-Print:
- 0708.4025
•
DOI:
- 10.1088/1126-6708/2007/09/120

[12]

Quantum Mechanics Volume II

A. Messiah

[13]

Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

Charles H. Bennett
(
- IBM Watson Res. Ctr.
)
,
Gilles Brassard
(
- Montreal U.
)
,
Claude Crepeau
(
- Montreal U. and
- Ecole Normale Supérieure, Paris
)
,
Richard Jozsa
(
- Montreal U.
)
,
Asher Peres
(
- Technion
)

et al.

- Phys.Rev.Lett. 70 (1993) 1895-1899
•
DOI:
- 10.1103/PhysRevLett.70.1895

[14]

Quantum Information Theory. Cambridge University Press

M. Wilde

[15]

Particle Emission Rates from a Black Hole: Massless Particles from an Uncharged, Nonrotating Hole

Don N. Page
(
- Caltech
)

- Phys.Rev.D 13 (1976) 198-206
•
DOI:
- 10.1103/PhysRevD.13.198

[16]

Particle Emission Rates from a Black Hole. 2. Massless Particles from a Rotating Hole

Don N. Page
(
- Caltech
)

- Phys.Rev.D 14 (1976) 3260-3273
•
DOI:
- 10.1103/PhysRevD.14.3260

[17]

Black holes and the butterfly effect

Stephen H. Shenker
(
)
,
Douglas Stanford
(
)

- JHEP 03 (2014) 067
•
e-Print:
- 1306.0622
•
DOI:
- 10.1007/JHEP03(2014)067

[18]

Stringy effects in scrambling

Stephen H. Shenker
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Douglas Stanford
(
)

- JHEP 05 (2015) 132
•
e-Print:
- 1412.6087
•
DOI:
- 10.1007/JHEP05(2015)132

[19]

A bound on chaos

- JHEP 08 (2016) 106
•
e-Print:
- 1503.01409
•
DOI:
- 10.1007/JHEP08(2016)106