
This is a preliminary study and not the final version. An updated revision will be available shortly. We thank you for your feedback. Quantum V-Index: A Universal Efficiency Metric for Information Processing While classical thermodynamics defines the theoretical minimum cost of information erasure via Landauer’s principle, real-world physical systems ranging from nanomagnetic bits to quantum circuits operate with a consistent overhead to maintain informational integrity. This paper introduces the Quantum V-Index (Vq), a dimensionless metric that unifies von Neumann entropy, energy dissipation, and system stability into a single, platform-independent framework. By normalizing physical variables into bit-equivalents, the V-index reveals a fundamental symmetry in informational processes. At the theoretical limit of optimality, the index converges to a fixed reference point, while high-precision experimental data across diverse platforms suggest the existence of a universal stability constant.This framework bridges the gap between quantum coherence and classical dissipation, providing an objective benchmark for qubit operation efficiency and informational integrity. The Quantum V-Index represents a candidate for a universal law of informational thermodynamics, defining the precise energy entropy cost of stability in any processing system. Note: In quantum thermodynamic treatments the definition of ΔS_Q can follow either a system‑based or an environment‑based entropy convention. The present preprint uses one consistent convention, but readers should be aware that different frameworks assign ΔS_Q differently. A New Horizon in Quantum Gravity (V-index) The underlying mathematical formulas and the formal definition of the V-index : https://doi.org/10.5281/zenodo.18147084
Information Stability Constant, Dimensionless Metrics, Thermal Fluctuations, Quantum Information Theory, Quantum Thermodynamics, Thermodynamic Efficiency, Landauer's Principle, Bremermann's Limit, Statistical Mechanics, Qubit Reset Dynamics, Information Dissipation, Invariant Constants of Nature, Energy-Information Equivalence, Quantum Coherence Dissipation, Non-equilibrium Thermodynamics, Von Neumann Entropy, Ion Trap Computing, V-index, Shannon Entropy, Superconducting Qubits
Information Stability Constant, Dimensionless Metrics, Thermal Fluctuations, Quantum Information Theory, Quantum Thermodynamics, Thermodynamic Efficiency, Landauer's Principle, Bremermann's Limit, Statistical Mechanics, Qubit Reset Dynamics, Information Dissipation, Invariant Constants of Nature, Energy-Information Equivalence, Quantum Coherence Dissipation, Non-equilibrium Thermodynamics, Von Neumann Entropy, Ion Trap Computing, V-index, Shannon Entropy, Superconducting Qubits
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