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quant-ph2026

On the entropy of a pseudo-density matrix

James Fullwood, Boyu Yang

The pseudo-density matrix (PDM) formalism naturally extends the notion of density operator to the spatiotemporal domain. While PDMs are Hermitian and of unit trace, they admit nega…

quant-ph2026

Quantum information loss

James Fullwood, Wu-zhong Guo, Boyu Yang

We introduce a measure of information loss for any quantum process that may be modeled by a prepare-evolve-measure scenario: Alice prepares an ensemble of states that gets sent via…

quant-ph2026

Operational time-reversal symmetry for unital qubit channels

Ouyang Ting, James Fullwood, Zhen Wu

The Bayesian inverse of a quantum channel is a channel in the reverse direction of that yields time-symmetric correlations for sequential…

quant-ph2026

On Lorentzian symmetries of quantum information

James Fullwood, Vlatko Vedral, Edgar Guzmán-González

A foundational result in relativistic quantum information theory due to Peres, Scudo, and Terno, is that von Neumann entropy is not Lorentz invariant. Motivated by the "It from Qub…

quant-ph2025

On Dirac-type correlations

James Fullwood, Boyu Yang

Quantum correlations often defy an explanation in terms of fundamental notions of classical physics, such as causality, locality, and realism. While the mathematical theory underpi…

quant-ph2025

The Born rule as a natural transformation of functors

Boyu Yang, James Fullwood

In this work, we show that the quantum mechanical notions of density operator, positive operator-valued measure (POVM), and the Born rule, are all simultaneously encoded in the cat…