The Typical-State Paradox: Diagnosing Horizons with Complexity
arXiv:1507.02287 · doi:10.1002/prop.201500091
Abstract
The concept of transparent and opaque horizons is defined. One example of opaqueness is the presence of a firewall. Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons; and: All black holes formed by natural processes have transparent horizons. A diagnostic is proposed for transparency, namely that the computational complexity of the state be increasing with time. It is shown that opaque horizons are extremely unstable and that the slightest perturbation will make them transparent within a scrambling time.
18 pages, 7 figures
References in corpus (5)
Cited by in corpus (71)
- Complexity Equals Action
- Chaos in quantum channels
- Complexity, action, and black holes
- Chaos and complexity by design
- The Second Law of Quantum Complexity
- On the Time Dependence of Holographic Complexity
- Complexity and entanglement for thermofield double states
- White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
- Quantum Complexity and Negative Curvature
- Holographic Complexity in Vaidya Spacetimes II
- Holographic Complexity Equals Which Action?
- The First Law of Complexity
- Holographic Complexity And Cosmological Singularities
- Pure states in the SYK model and nearly- gravity
- Scrambling and Complexity in Phase Space
- Complexity Growth in Integrable and Chaotic Models
- Aspects of The First Law of Complexity
- Complexity is Simple
- A complexity/fidelity susceptibility g-theorem for AdS/BCFT
- Fidelity Susceptibility as Holographic PV-Criticality
- Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos
- Uncomplexity and Black Hole Geometry
- On Some Universal Features of the Holographic Quantum Complexity of Bulk Singularities
- Complexity of AdS_5 black holes with a rotating string
- Complexity and Boost Symmetry
- Resource theory of quantum uncomplexity
- Complexity/Action duality of shock wave geometry in a massive gravity theory
- Complexity growth of rotating black holes with a probe string
- Complexity of quantum circuits via sensitivity, magic, and coherence
- Dear Qubitzers, GR=QM
- On the time dependence of holographic complexity for charged AdS black holes with scalar hair
- Volume complexity of dS bubbles
- Holevo Information and Ensemble Theory of Gravity
- Size and momentum of an infalling particle in the black hole interior
- Probing quantum chaos in multipartite systems
- Non-perturbative Overlaps in JT Gravity: From Spectral Form Factor to Generating Functions of Complexity
- A quantum circuit interpretation of evaporating black hole geometry
- Complexity and Multi-boundary Wormholes
- Effects of quintessence dark energy on the action growth and butterfly velocity
- Complexity via Replica Trick
- The Interior Volume of Kerr-AdS Black Holes
- Collisions of localized shocks and quantum circuits
- Multipartite Entanglement and Firewalls
- Quantum Complexity and Chaos in Young Black Holes
- On the saturation of late-time growth of complexity in supersymmetric JT gravity
- Horizons Protect Church-Turing
- Complexity growth for topological black holes by holographic method
- Properties of the (Un)Complexity of Subsystems
- Black Holes at Exp-time
- The Holographic Map of an Evaporating Black Hole
- Coherence and Imaginarity as Resources in Quantum Circuit Complexity
- Random Circuits in the Black Hole Interior
- On Complexity of Holographic Flavors
- Late-Time Saturation of Black Hole Complexity
- Understanding over-parameterized deep networks by geometrization
- Cryptographic tests of the python's lunch conjecture
- Quantum state complexity and the thermodynamic arrow of time
- ER for typical EPR
- Holographic non-computers
- Quantum Cellular Automata, Black Hole Thermodynamics, and the Laws of Quantum Complexity
- Geometry of quantum complexity
- Deep network as memory space: complexity, generalization, disentangled representation and interpretability
- Toward a physically motivated notion of Gaussian complexity geometry
- Why is AI hard and Physics simple?
- Holographic Complexity in Charged Accelerating Black Holes
- Holographic and QFT Complexity with angular momentum
- D5-brane on topological black holes
- Time from quantum state complexity and the pace of time flow
- Quantum Information Approaches to Quantum Gravity
- Wavefunction branches demand a definition!
- Falsifiability of Isolated Spacetime Regions