Persistence of quantum information

Shantena Augusto Sabbadini

Nhật Phạm Lê Minh

This paper develops an operational framework for analyzing persistence and branching of observer states using concepts from quantum information theory and quantum error correction. Observer states are modeled as encoded informational structures within code subspaces, and persistence is defined in terms of constrained recoverability under a specified class of allowed operations. The framework introduces persistence neighborhoods and recoverability-based continuity measures using fidelity and information geometry. Branching processes are analyzed operationally through reduced-state structure and local recoverability rather than metaphysical identity claims. Connections to decoherence, Everettian branching, and quantum information constraints such as no-cloning and no-deleting are discussed. The paper does not propose a theory of consciousness or derive metaphysical identity conditions from physics. Instead, it provides a formal structure for studying operational persistence under branching dynamics within a quantum-information-theoretic setting.

Robert J. Lewis-Swan, Arghavan Safavi-Naini, A. M. Kaufman +1 more

Bill Giannakopoulos

This paper extends Persistence Theory into the quantum and cosmological domains to explore how structure, coherence, and physical constants emerge and survive. We propose that Persistence Theory — originally formulated in classical thermodynamic and information-theoretic terms — gains new power when extended to quantum information (qubits), entanglement, and decoherence. We argue that the physical laws and constants of our universe can be understood as the survivors of a universal filtering process: those configurations that maximized persistence under quantum noise, entropy, and structural fragility. The result is a first-principles selection mechanism for stability — not random, not fine-tuned, but filtered. This theory may resolve outstanding mysteries about quantum collapse, the small value of the cosmological constant, and the dimensionality and structure of spacetime.

pLalitha Nathp

Zixuan He

How long quantum information survives can matter more than how many samples a receiver processes at once. We establish this distinction for detecting optical squeezing with an unknown source and noisy direction records. At fixed five-percent errors, mean input photon number at most 0.006 and transmissivity in [0.1, 0.2], a receiver with a fixed-width persistent register attains weak-signal sample coefficient 7.35. Arbitrary adaptive receivers that erase all quantum information between blocks sublinear in the total sample budget require at least 7.7216; one-copy measurements with unlimited classical feedback require at least 10.3. The separation persists for a disclosed Gaussian thermal source: the reset-block lower bound is 7.5486, still above the persistent construction. Source uncertainty is governed by a separate exact energy boundary. With noisy direction records, coherence and excess photon population together determine a matched sample-order law. The constructive receiver has 4096 active memory levels, a deterministic non-Gaussian interface, and explicit trial and cumulative memory-noise budgets. Thus growing temporary measurement blocks cannot replace persistent quantum storage at the demonstrated detection cost. The results specify when control records are essential and when receiver design must preserve quantum information across a macroscopic fraction of the acquisition.