Pablo Arrighi & Gilles Dowek (2008):
Linear-algebraic lambda-calculus: higher-order, encodings, and confluence..
In: RTA,
pp. 17–31,
doi:10.1007/978-3-540-70590-1_2.
E. Bernstein & U. Vazirani (1997):
Quantum Complexity Theory.
SIAM J. Comput. 26(5),
pp. 1411–1473,
doi:10.1137/S0097539796300921.
R. Blute, A. Guglielmi, I. Ivanov, P. Panangaden & L. Straßburger (2014):
A Logical Basis for Quantum Evolution and Entanglement.
In: Categories and Types in Logic, Language, and Physics,
LNCS 8222,
pp. 90–107,
doi:10.1007/978-3-642-54789-8_6.
U. Dal Lago & C. Faggian (2011):
On Multiplicative Linear Logic, Modality and Quantum Circuits.
In: QPL,
Electron. Proc. Theor. Comput. Sci. 95,
pp. 55–66,
doi:10.4204/EPTCS.95.6.
U. Dal Lago, A. Masini & M. Zorzi (2009):
On a Measurement-Free Quantum Lambda Calculus with Classical Control.
Math. Structures Comput. Sci. 19(2),
pp. 297–335,
doi:10.1017/S096012950800741X.
U. Dal Lago, A. Masini & M. Zorzi (2010):
Quantum Implicit Computational Complexity.
Theoret. Comput. Sci. 411(2),
pp. 377–409,
doi:10.1016/j.tcs.2009.07.045.
U. Dal Lago, A. Masini & M. Zorzi (2011):
Confluence Results for A Quantum Lambda Calculus with Measurements.
Electron. Notes Theor. Comput. Sci. 270(2),
pp. 251–261,
doi:10.1016/j.entcs.2011.01.035.
U. Dal Lago & M. Zorzi (2013):
Wave-Style Token Machines and Quantum Lambda Calculi (Long Version)..
Available at http://arxiv.org/abs/1307.0550.
Y. Delbecque (2011):
Game Semantics for Quantum Data.
Electron. Notes Theor. Comput. Sci. 270(1),
pp. 41–57,
doi:10.1016/j.entcs.2011.01.005.
Y. Delbecque & P. Panangaden (2008):
Game Semantics for Quantum Stores.
Electron. Notes Theor. Comput. Sci. 218,
pp. 153–170,
doi:10.1016/j.entcs.2008.10.010.
J.-Y. Girard (1989):
Geometry of Interaction I: Interpretation of System F.
In: Proc. of the Logic Colloquium '88,
pp. 221–260,
doi:10.1016/s0049-237x(08)70271-4.
G. Gonthier, M. Abadi & J.-J. Lévy (1992):
The Geometry of Optimal Lambda Reduction.
In: POPL,
pp. 15–26,
doi:10.1145/143165.143172.
I. Hasuo & N. Hoshino (2011):
Semantics of higher-order quantum computation via geometry of interaction.
In: LICS,
pp. 237–246,
doi:10.1109/LICS.2011.26.
Ian Mackie (1995):
The Geometry of Interaction Machine.
In: POPL,
pp. 198–208,
doi:10.1145/199448.199483.
M. Nielsen & I. Chuang (2000):
Quantum computation and quantum information.
Cambridge University Press.
P. Selinger & B. Valiron (2006):
A lambda calculus for quantum computation with classical control.
Math. Structures Comput. Sci. 16(3),
pp. 527–552,
doi:10.1017/S0960129506005238.
Peter Selinger & Benoît Valiron (2008):
On a Fully Abstract Model for a Quantum Linear Functional Language.
Electron. Notes Theor. Comput. Sci. 210,
pp. 123–137,
doi:10.1016/j.entcs.2008.04.022.
Peter W. Shor (1997):
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer.
SIAM J. Comput. 26(5),
pp. 1484–1509,
doi:10.1137/S0097539795293172.
A. van Tonder (2004):
A lambda calculus for quantum computation.
SIAM J. Comput. 33(5),
pp. 1109–1135,
doi:10.1137/S0097539703432165.
M. Volpe, L. Viganò & M Zorzi (2014):
Quantum States Transformation and Branching Distributed Temporal Logic.
In: WOLLIC,
LNCS 8652,
pp. 1–19,
doi:10.1007/978-3-662-44145-9_1.
Akira Yoshimizu, Ichiro Hasuo, Claudia Faggian & Ugo Dal Lago (2014):
Measurements in Proof Nets as Higher-Order Quantum Circuits.
In: ESOP,
LNCS 8410,
pp. 371–391,
doi:10.1007/978-3-642-54833-8_20.
M. Zorzi (2013):
On Quantum Lambda Calculi: a Foundational Perspective.
Math. Structures Comput. Sci.,
pp. 1–94.
Accepted for Publication.
eptcs@eptcs.org