From qubits to black holes: entropy, entanglement and all that

Abstract

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the Bekenstein-Hawking term for black hole entropy and logarithmic correction to it. The latter originates in the entanglement between the pieces of spin networks that describe black hole horizon. Entanglement between gravity and matter may restore the unitarity in the black hole evaporation process. If the collapsing matter is assumed to be initially in a pure state, then entropy of the Hawking radiation is exactly the created entanglement between matter and gravity.

Honorable Mention in the 2005 Gravity Research Foundation Essay Competition

References in corpus (12)

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Cited by in corpus (12)

• The Trilinear Hamiltonian: A Zero Dimensional Model of Hawking Radiation from a Quantized Source
• Generic degeneracy and entropy in loop quantum gravity
• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• Dynamics and entanglement in spherically symmetric quantum gravity
• Entanglement, recoherence and information flow in an accelerated detector - quantum field system: Implications for black hole information issue
• Qubit Transport Model for Unitary Black Hole Evaporation without Firewalls
• Spectroscopy of a canonically quantized horizon
• Considering boundary conditions for black hole entropy in loop quantum gravity
• Relativistic quantum information theory and quantum reference frames
• Black hole entropy predictions without the Immirzi parameter and Hawking radiation of a single-partition black hole
• Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation
• Role of Three-Qubit Mixed-States Entanglement in Teleportation Scheme