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Relational proofs for quantum programs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-1236-2openalex-snapshot
Coupling, Stationarity, and Regeneration
inferredcites →https://doi.org/10.1007/978-3-540-24754-8_1openalex-snapshot
A Brief Survey of Quantum Programming Languages
inferredcites →https://doi.org/10.1007/978-3-540-71050-9openalex-snapshot
Optimal Transport: Old and New
inferredcites →https://doi.org/10.1007/978-3-642-10622-4_7openalex-snapshot
A Logic for Formal Verification of Quantum Programs
inferredcites →https://doi.org/10.1007/978-3-642-36742-7_33openalex-snapshot
Equivalence Checking of Quantum Protocols
inferredcites →https://doi.org/10.1007/978-3-662-48899-7_27openalex-snapshot
Relational Reasoning via Probabilistic Coupling
inferredcites →https://doi.org/10.1007/s00220-016-2609-8openalex-snapshot
Tight Uniform Continuity Bounds for Quantum Entropies: Conditional Entropy, Relative Entropy Distance and Energy Constraints
inferredcites →https://doi.org/10.1007/s11128-012-0432-5openalex-snapshot
Quantum walks: a comprehensive review
inferredcites →https://doi.org/10.1016/b978-0-12-802306-8.00004-5openalex-snapshot
Logic for quantum programs
inferredcites →https://doi.org/10.1016/j.entcs.2006.04.003openalex-snapshot
Reasoning About Imperative Quantum Programs
inferredcites →https://doi.org/10.1016/j.scico.2013.03.016openalex-snapshot
Verification of quantum programs
inferredcites →https://doi.org/10.1016/j.tcs.2007.06.011openalex-snapshot
Proof rules for the correctness of quantum programs
inferredcites →https://doi.org/10.1016/j.tcs.2019.08.026openalex-snapshot
Strassen's theorem for quantum couplings
inferredcites →https://doi.org/10.1017/s0960129504004256openalex-snapshot
Towards a quantum programming language
inferredcites →https://doi.org/10.1017/s0960129506005251openalex-snapshot
Quantum weakest preconditions
inferredcites →https://doi.org/10.1080/00107151031000110776openalex-snapshot
Quantum random walks: An introductory overview
inferredcites →https://doi.org/10.1103/physreva.67.042317openalex-snapshot
Optimal encryption of quantum bits
inferredcites →https://doi.org/10.1103/physrevlett.70.1895openalex-snapshot
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
inferredcites →https://doi.org/10.1109/lics.2004.1319636openalex-snapshot
A categorical semantics of quantum protocols
inferredcites →https://doi.org/10.1109/lics.2019.8785779openalex-snapshot
Quantum Hoare Logic with Ghost Variables
inferredcites →https://doi.org/10.1142/s0219025716500120openalex-snapshot
Diagonal couplings of quantum Markov chains
inferredcites →https://doi.org/10.1145/1480881.1480894openalex-snapshot
Formal certification of code-based cryptographic proofs
inferredcites →https://doi.org/10.1145/175007.175019openalex-snapshot
A Bernoulli factory
inferredcites →https://doi.org/10.1145/2049706.2049708openalex-snapshot
Floyd--hoare logic for quantum programs
inferredcites →https://doi.org/10.1145/2103656.2103670openalex-snapshot
Probabilistic relational reasoning for differential privacy
inferredcites →https://doi.org/10.1145/2492061openalex-snapshot
Probabilistic Relational Reasoning for Differential Privacy
inferredcites →https://doi.org/10.1145/2933575.2934554openalex-snapshot
Proving Differential Privacy via Probabilistic Couplings
inferredcites →https://doi.org/10.1145/3158145openalex-snapshot
Proving expected sensitivity of probabilistic programs
inferredcites →https://doi.org/10.1145/3290346openalex-snapshot
Quantum relational Hoare logic
inferredcites →https://doi.org/10.1145/3313276.3316378openalex-snapshot
Gentle measurement of quantum states and differential privacy
inferredcites →https://doi.org/10.1145/3314221.3314584openalex-snapshot
An applied quantum Hoare logic
inferredcites →https://doi.org/10.4230/lipics.concur.2015.441openalex-snapshot
Toward Automatic Verification of Quantum Cryptographic Protocols

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/smr.2419openalex-snapshot
Quantum software testing: State of the art
inferred← citeshttps://doi.org/10.1007/978-3-031-05324-5_9openalex-snapshot
Quantum Software Testing: Current Trends and Emerging Proposals
inferred← citeshttps://doi.org/10.1007/978-3-031-50521-8_8openalex-snapshot
Local Reasoning About Probabilistic Behaviour for Classical–Quantum Programs
inferred← citeshttps://doi.org/10.1007/978-3-031-64136-7_6openalex-snapshot
Quantum Software Quality Metrics
inferred← citeshttps://doi.org/10.1007/978-3-031-65633-0_22openalex-snapshot
Approximate Relational Reasoning for Quantum Programs
inferred← citeshttps://doi.org/10.1007/978-981-96-7423-7_2openalex-snapshot
Generating Property-Based Tests for Quantum Algorithms
inferred← citeshttps://doi.org/10.1016/b978-0-44-315942-8.00009-5openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1016/b978-0-44-315942-8.00016-2openalex-snapshot
Quantum Hoare logic
inferred← citeshttps://doi.org/10.1016/b978-0-44-315942-8.00018-6openalex-snapshot
Verification of quantum programs
inferred← citeshttps://doi.org/10.1016/b978-0-44-315942-8.00030-7openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/j.ic.2026.105417openalex-snapshot
A practical quantum Hoare logic with classical variables, I
inferred← citeshttps://doi.org/10.1109/lics52264.2021.9470673openalex-snapshot
A Quantum Interpretation of Bunched Logic & Quantum Separation Logic
inferred← citeshttps://doi.org/10.1109/lics65433.2025.00072openalex-snapshot
Complete Quantum Relational Hoare Logics from Optimal Transport Duality
inferred← citeshttps://doi.org/10.1142/s021819402441002xopenalex-snapshot
Quantum Software Engineering: Practical Challenges
inferred← citeshttps://doi.org/10.1145/3434286openalex-snapshot
On algebraic abstractions for concurrent separation logics
inferred← citeshttps://doi.org/10.1145/3456877openalex-snapshot
Quantum Hoare Logic with Classical Variables
inferred← citeshttps://doi.org/10.1145/3460120.3484567openalex-snapshot
EasyPQC: Verifying Post-Quantum Cryptography
inferred← citeshttps://doi.org/10.1145/3498691openalex-snapshot
Twist: sound reasoning for purity and entanglement in Quantum programs
inferred← citeshttps://doi.org/10.1145/3519939.3523713openalex-snapshot
Algebraic reasoning of Quantum programs via non-idempotent Kleene algebra
inferred← citeshttps://doi.org/10.1145/3527316openalex-snapshot
On incorrectness logic for Quantum programs
inferred← citeshttps://doi.org/10.1145/3571222openalex-snapshot
CoqQ: Foundational Verification of Quantum Programs
inferred← citeshttps://doi.org/10.1145/3704876openalex-snapshot
A Quantitative Probabilistic Relational Hoare Logic
inferred← citeshttps://doi.org/10.1145/3704878openalex-snapshot
Automating Equational Proofs in Dirac Notation
inferred← citeshttps://doi.org/10.1145/3704889openalex-snapshot
Coinductive Proofs for Temporal Hyperliveness
inferred← citeshttps://doi.org/10.1145/3729293openalex-snapshot
Efficient Formal Verification of Quantum Error Correcting Programs
inferred← citeshttps://doi.org/10.1145/3763153openalex-snapshot
Scalable Equivalence Checking and Verification of Shallow Quantum Circuits
inferred← citeshttps://doi.org/10.1145/3776658openalex-snapshot
An Expressive Assertion Language for Quantum Programs
inferred← citeshttps://doi.org/10.1145/3815573openalex-snapshot
Reasoning about Parameterized Recursive Quantum Programs with Ancilla Data and Probabilistic Control
inferred← citeshttps://doi.org/10.2139/ssrn.7361162openalex-snapshot
Local Reasoning about Probabilistic Behaviour for Classical-Quantum Programs
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