Free entropy and quantum minimum description length
Gives free entropy an operational meaning through the quantum memory required to describe many copies of a state with a known spectrum and an unknown eigenbasis.
PUBLICATIONS
Research in quantum information, mathematical physics, and gravity, with links to papers and associated talks.
Gives free entropy an operational meaning through the quantum memory required to describe many copies of a state with a known spectrum and an unknown eigenbasis.
Determines the memory cost of compressing density matrices with a known spectrum, using representation theory and matching achievability and converse bounds.
Finds optimal asymptotic fidelities for cloning mixed quantum states, separating the costs of uncertainty in their spectra and eigenbases.
Constructs finite-dimensional quantum channels whose two-use Holevo information exceeds twice their single-use value by an arbitrarily large amount.
Introduces free mutual information as a measure of quantum chaos and connects it to higher-point OTOCs and the spreading of operators through operator space.
Studies state merging with alpha-bits, a communication resource weaker than qubits, and explores implications for entanglement wedge reconstruction.
Uses quantum Fisher information to ask how precisely time can be read from a chaotic system, yielding a new formulation of the black hole information paradox.
Tests the information-theoretic meaning of the Bekenstein bound through communication capacities, revealing different constraints on bits, qubits, and zero-bits.
Establishes a trade-off between teleporting energy and quantum information, using both a wormhole-inspired many-body model and a general entanglement bound.
Uses free probability to compute black hole radiation entropy beyond the regimes captured by the island formula, connecting gravitational replicas with random matrices.
Derives a refined quantum extremal surface prescription using one-shot entropy and the asymptotic equipartition property, with applications to holography and the Page curve.
Provides a unified treatment of equality in the data processing inequality for sandwiched Rényi divergence, including its connection to Petz recovery.
Interprets replica-trick radiation entropy through the quantum de Finetti theorem, relating replica wormholes to correlations and conditional information.
Examines horizon entropy in causal set theory and tests which discrete constructions recover a local horizon area in the continuum limit.
Computes the continuum limit of a causal set action on curved causal diamonds and identifies the expected gravitational bulk term together with a boundary contribution.
Connects holographic outer entropy with Bartnik-Bray quasilocal mass, translating geometric monotonicity into entropy laws and motivating a gravitational ant conjecture.
Generalizes several quasilocal energy definitions to higher dimensions and compares their small-sphere limits, revealing a departure from the four-dimensional Bel-Robinson description.
Studies the local content of gravitational energy through higher-dimensional quasilocal masses and identifies a common vacuum quantity in their small-sphere limits.
Computes geometric properties of three constructions of small causal diamonds, providing curvature expansions useful in general relativity and quantum gravity.
Develops efficiently computable confidence regions for quantum state tomography, giving reconstructed states rigorous statistical error bars.
Designs a learning order that balances character frequency with structural prerequisites, using a topological sorting algorithm applicable to broader scheduling tasks.
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