Description
Every measurement has a cost, and every erasure has a price. This book proves that these costs are locked together by an exact thermodynamic identity: for any projective measurement on a d-dimensional quantum system, the minimum work costs for measuring and erasing sum to exactly kT ln d — independent of the quantum state or measurement basis. This measurement-erasure duality unifies Maxwell's demon, Landauer's principle, and quantum error correction within a single rigorous framework.
Starting from the physics of information and building to the thermodynamics of fault-tolerant quantum computing, the book constructs the duality map via five physically motivated axioms, proves its uniqueness, and derives exact identities for both single-qubit measurements and multi-qubit syndrome extraction in quantum error-correcting codes. Fluctuation theorems (Crooks, Jarzynski), speed–dissipation trade-offs, and a systematic Pareto-front analysis of eleven codes — from repetition to qLDPC — bridge fundamental theory to practical quantum hardware.
Three falsifiable experimental predictions, testable within five years on current platforms, ground the theory in laboratory reality. The Landauer gap is quantified across four hardware technologies. A category-theoretic foundation reveals the duality as a universal property of dagger-compact categories.
Six parts and 20 chapters guide the reader from Maxwell's 1867 thought experiment through to open research problems. Seven appendices provide mathematical prerequisites, complete proofs, non-equilibrium derivations, worked examples, experimental protocol specifications, notation, and exercise solutions.
Details
Publisher - Ars Demonstrandi
Language - English
Perfect Bound
Contributors
By author
Rolando Pablo Hong Enriquez
Published Date - 2026-10-31
ISBN - 9781066611232
Dimensions - 25.4 x 17.8 x 1.4 cm
Page Count - 191
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