# Black holes as mirrors: Quantum information in random subsystems

@article{Hayden2007BlackHA, title={Black holes as mirrors: Quantum information in random subsystems}, author={Patrick M. Hayden and John Preskill}, journal={Journal of High Energy Physics}, year={2007}, volume={2007}, pages={120-120} }

We study information retrieval from evaporating black holes, assuming that the internal dynamics of a black hole is unitary and rapidly mixing, and assuming that the retriever has unlimited control over the emitted Hawking radiation. If the evaporation of the black hole has already proceeded past the ``half-way'' point, where half of the initial entropy has been radiated away, then additional quantum information deposited in the black hole is revealed in the Hawking radiation very rapidly…

## 1,068 Citations

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## References

SHOWING 1-10 OF 36 REFERENCES

### An Introduction to Black Holes, Information and the String Theory Revolution: The Holographic Universe

- Physics
- 2006

The evaporation of a black hole formed by the collapse of matter is a nonunitary process involving loss of information. At least, this is how it appears in Hawking's semiclassical description, in…

### Black hole information

- Physics
- 1993

Hawking's 1974 calculation of thermal emission from a classical black hole led to his 1976 proposal that information may be lost from our universe as a pure quantum state collapses gravitationally…

### Efficient Simulation of Random Quantum States and Operators

- Mathematics
- 2005

We investigate the generation of quantum states and unitary operations that are ``random'' in certain respects. We show how to use such states to estimate the average fidelity, an important measure…

### The stretched horizon and black hole complementarity.

- PhysicsPhysical review. D, Particles and fields
- 1993

Three postulates asserting the validity of conventional quantum theory, semiclassical general relativity, and the statistical basis for thermodynamics are introduced as a foundation for the study of…

### On quantum fidelities and channel capacities

- Computer ScienceIEEE Trans. Inf. Theory
- 2000

It is shown that a restricted class of encodings is sufficient to transmit any quantum source which may be transmitted on a given channel, and that the availability of an auxiliary classical channel from encoder to decoder does not increase the quantum capacity.

### Distinguishability and Accessible Information in Quantum Theory

- Computer Science
- 1996

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states, and gives a way of expressing the problem so that it appears as algebraic as that of the problem of finding quantum distinguishability measures.

### Quantum Information Theory

- Physics
- 2000

In this thesis I present a short review of ideas in quantum information theory. The first chapter contains introductory material, sketching the central ideas of probability and information theory.…

### Black Holes: The Membrane Paradigm

- Physics
- 1986

The physics of black holes is explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space. A 3+1 formalism is used to…

### The mother of all protocols: restructuring quantum information’s family tree

- Computer ScienceProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2009

The mother protocol described here is easily transformed into the so-called ‘father’ protocol whose children provide the quantum capacity and the entanglement-assisted capacity of a quantum channel, demonstrating that the division of single-sender/single-receiver protocols into two families was unnecessary.

### Gedanken experiments involving black holes.

- PhysicsPhysical review. D, Particles and fields
- 1994

Analysis of several gedanken experiments indicates that black hole complementarity cannot be ruled out on the basis of known physical principles. Experiments designed by outside observers to disprove…