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» A categorical quantum logic
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2005
IEEE
13 years 11 months ago
A Functional Quantum Programming Language
We introduce the language QML, a functional language for quantum computations on finite types. Its design is guided by its categorical semantics: QML programs are interpreted by ...
Thorsten Altenkirch, Jonathan Grattage
MSCS
2006
69views more  MSCS 2006»
13 years 5 months ago
A categorical quantum logic
We define a sequent calculus corresponding to the logic of strongly compact closed categories with biproducts. Based on this calculus, we define a proof-net syntax with ly normali...
Samson Abramsky, Ross Duncan
ORDER
2010
100views more  ORDER 2010»
13 years 3 months ago
Quantum Logic in Dagger Kernel Categories
This paper investigates quantum logic from the perspective of categorical logic, and starts from minimal assumptions, namely the existence of involutions/daggers and kernels. The ...
Chris Heunen, Bart Jacobs
AISC
2008
Springer
13 years 7 months ago
Extending Graphical Representations for Compact Closed Categories with Applications to Symbolic Quantum Computation
Graph-based formalisms of quantum computation provide an abstract and symbolic way to represent and simulate computations. However, manual manipulation of such graphs is slow and e...
Lucas Dixon, Ross Duncan
DATE
2006
IEEE
133views Hardware» more  DATE 2006»
13 years 11 months ago
Analysis and synthesis of quantum circuits by using quantum decision diagrams
Quantum information processing technology is in its pioneering stage and no proficient method for synthesizing quantum circuits has been introduced so far. This paper introduces a...
Afshin Abdollahi, Massoud Pedram