{"product_id":"the-measurement-erasure-duality-from-landauers-principle-to-quantum-error-correction","title":"The Measurement-Erasure Duality: From Landauer's Principle to Quantum Error Correction","description":"\u003cp\u003e \u003cstrong\u003eEvery measurement has a cost, and every erasure has a price. This book proves that these costs are locked together by an exact thermodynamic identity:\u003c\/strong\u003e 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. \u003cstrong\u003eThis measurement-erasure duality unifies Maxwell's demon, Landauer's principle, and quantum error correction within a single rigorous framework.\u003c\/strong\u003e\u003cbr\u003e\u003cbr\u003e 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.\u003cbr\u003e\u003cbr\u003e 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.\u003cbr\u003e\u003cbr\u003e 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.\u003c\/p\u003e","brand":"Ars Demonstrandi","offers":[{"title":"Perfect Bound","offer_id":67143118717232,"sku":"9781066611232","price":39.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/www.thegreatbritishbookshop.co.uk\/products\/the-measurement-erasure-duality-from-landauers-principle-to-quantum-error-correction","provider":"The Great British Bookshop","version":"1.0","type":"link"}