1998. Quantum circuits with mixed states. In: Proceedings of the 30th Annual ACM Symposium on Theory of Computing (STOC). New York, NY: ACM., , and
1993. Meaning of the wave function. Phys. Rev. A, 47, 4616–4626., , and
1993. Measurement of the Schrödinger wave of a single particle. Phys. Lett. A, 178, 38–42. and
2001. State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products. Boston, MA: Birkhäuser. and
2003. Geometry of State Spaces of Operator Algebras. Boston, MA: Birkhäuser. and
1987. Quantum Dynamical Semigroups and Applications. Lecture Notes in Physics, vol. 286. Berlin: Springer. and
1995. Inhibition of the measurement of the wave function of a single quantum system in repeated weak quantum nondemolition measurements. Phys. Rev. Lett., 74, 4106–4109. and
1980. On a characterization of the state space of quantum mechanics. Comm. Math. Phys., 75(1), 1–24.
1998. Information transmission through a noisy quantum channel. Phys. Rev. A, 57, 4153–4175., , and
2009. Ensemble steering, weak self-duality, and the structure of probabilistic theories. arXiv, quant-ph., , and
2014. Higher-order interference and singlesystem postulates characterizing quantum theory. arXiv:1403.4147., , and
2007. Information processing in generalized probabilistic theories. Phys. Rev. A, 75(3), 032304.
2002. A Course in Convexity. Graduate Studies in Mathematics. Providence, RI: American Mathematical Society.
2015. Device-independent test of causal order and relations to fixed-points. arXiv.org.. and
1986. A Radon Nikodym theorem for completely positive maps. Rep. Math. Phys., 24, 49–53. and
2005. Operational distance and fidelity for quantum channels. J. Math. Phys., 46(6), 062106., , and
1978. Homogeneous self-dual cones, versus Jordan algebras: the theory revisited. Ann. Inst. Fourier (Grenoble), 28(1), v, 27–67. and
2010. The Logic of Quantum Mechanics. Vol. 15. Cambridge: Cambridge University Press., , , and
1992. Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. lett., 69(20), 2881. and
1984. Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, vol. 175. New York: IEEE., , et al.
1993. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett., 70(13), 1895., , , , , and
1996. Concentrating partial entanglement by local operations. Phys. Rev. A, 53, 2046., , , and
1993. Quantum complexity theory. Pages 11–20 of: Proceedings of the Twenty-fifth Annual ACM Symposium on Theory of Computing. New York, NY: ACM. and
1997. Matrix Analysis. New York: Springer-Verlag.
1984. Lattice theory. In: (ed.), Proceedings of the Second Symposium in Pure Mathematics of the American Mathematical Society April 1959, vol. 175. Providence, RI: American Mathematical Society.
1936. The logic of quantum mechanics. Math. Annal., 37, 823. and von
2009a. Optimal quantum tomography. IEEE J. Select. Topics Quantum Elec., 15(6), 1646., , , , and
2009b. Optimal quantum tomography of states, measurements, and transformations. Phys. Rev. Lett., 102(1), 010404., , , , and
2012. Quantum networks: general theory and applications. Acta Phys. Slovaca, 61(1), 273–390., , , and
2008. A classification of hidden-variable properties. J. Phys. A, 41(42), 425302. and
2005. Is information the key?
Nature Phys., 1(1), 2–4.
2014a. Bounding quantum correlations with indefinite causal order. arXiv.org.
2014b. Quantum causality. Nature Phys., 10(4), 259–263.
2000. Approximate quantum cloning and the impossibility of superluminal information transfer. Phys. Rev. A, 62(6), 062302., , , and
2004. There exist nonorthogonal quantum measurements that are perfectly repeatable. Phys. Rev. Lett., 92, 070403., , and
2005. Inverting quantum decoherence by classical feedback from the environment. Phys. Rev. Lett., 95, 090501., , and
1991. The Quantum Theory of Measurement. Berlin: Springer., , and
2001. Realization of quantum process tomography in NMR. Phys. Rev. A, 64(Jun), 012314., , and
2015. Quantum Theory: Informational Foundations and Foils. Japan: Springer Verlag. and (eds).
2007. How continuous quantum measurements in finite dimensions are actually discrete. Phys. Rev. Lett., 98(19), 190403., , and
2008a. Quantum circuit architecture. Phys. Rev. Lett., 101(6), 060401., , and
2008b. Optimal cloning of unitary transformation. Phys. Rev. Lett., 101, 180504., , and
2008c. Quantum circuit architecture. Phys. Rev. Lett., 101, 060401., , and
2009. Theoretical framework for quantum networks. Phys. Rev. A, 80(2), 022339., , and
2010a. Probabilistic theories with purification. Phys. Rev. A, 81(6), 062348., , and
2010b. Barycentric decomposition of quantum measurements in finite dimensions. J. Math. Phys., 51(2), 022111., , and
2010c. Probabilistic theories with purification. Phys. Rev. A, 81(6), 062348., , and
2011. Informational derivation of quantum theory. Phys. Rev. A, 84(1), 012311., , and
2013a. Quantum computations without definite causal structure. Phys. Rev. A, 88(Aug), 022318., , , and
2013b. A short impossibility proof of quantum bit commitment. Phys. Lett. A, 377, 1076–1087., , and
2014. Non-causal theories with purification. arxiv., , and
2015. Non-causal theories with purification. in preparation., , and
1972. Positive linear linear maps on C* algebras. Canad. J. Math., XXIV(3), 520–529.
1975. Completely positive linear maps on complex matrices. Linear Algebra Appl., 10, 285–290.
2000. Quantum Information and Quantum Computation. Cambridge: Cambridge University Press. and
2003. Characterizing quantum theory in terms of information-theoretic constraints. Foundations of Phys., 33(11), 1561–1591., , and
2008. Introducing categories to the practicing physicist. Adv. Stud. Math. Logic, 30, 45.
2006. Introducing categories to the practicing physicist. Pages 289–355 of: What is Category Theory? Advanced Studies in Mathematics and Logic, vol. 30. Milan, Italy: Polimetrica Publishing.
2000. Current research in operational quantum logic: algebras, categories, languages. Vol. 111. New York: Springer Science & Business Media., , and
1961. The Algebra of Probable Inference. Baltimore, OH: Johns Hopkins University.
2011. Quantum theory and beyond: is entanglement special? Pages 365–392 of: (ed.), Deep Beauty: Understanding the Quantum World through Mathematical Innovation. Cambridge University Press. and
1997. Homodyning as universal detection. Pages 365–392 of: , , and (eds), Quantum Communication, Computing and Measurement. New York and London: Plenum.
2005. Homodyning as universal detection. Pages 494–508 of: (ed.), Asymptotic Theory of Quantum Statistical Inference, Selected Papers. Singapore: World Scientific.
2006a. How to derive the Hilbert-space formulation of quantum mechanics from purely operational axioms. In: , , , and (eds), Quantum Mechanics, vol. 844. USA: American Institute of Physics.
2006b. On the missing axiom of Quantum Mechanics. Pages 114–130 of: AIP Conference Proceedings, vol. 810.
2007a. Operational axioms for a C*,-algebraic formulation for Quantum Mechanics. Page 191 of: , , and (eds), Proceedings of the 8th Int. Conf. on Quantum Communication, Measurement and Computing. Japan: NICT press.
2007b. Operational axioms for quantum mechanics. Page 79 of: , , and (eds), AIP Conference Proceedings, vol. 889. USA: American Institute of Physics.
2010. Probabilistic theories: what is special about quantum mechanics? Chap. 5 of: and (eds), Philosophy of Quantum Information and Entanglement. Cambridge: Cambridge University Press.
2001. Quantum tomography for measuring experimentally the matrix elements of an arbitrary quantum operation. Phys. Rev. Lett., 86(May), 4195–4198. and
2003. Imprinting a complete information about a quantum channel on its output state. Phys. Rev. Lett., 91, 047902. and
2005. Efficient universal programmable quantum measurements. Phys. Rev. lett., 94(9), 090401. and
2007. Optimal data processing for quantum measurements. Phys. Rev. Lett., 98, 020403. and
2010. Testing axioms for quantum theory on probabilistic toy-theories. Quantum Inf. Proc., 9, 95–141. and
2013. Emergence of space-time from topologically homogeneous causal networks. Studies in History and Philosophy of Modern Physics. and
1996. Impossibility of measuring the wave function of a single quantum system. Phys. Rev. Lett., 76(Apr), 2832–2835. and
1994. Detection of the density matrix through optical homodyne tomography without filtered back projection. Phys. Rev. A, 50(Nov), 4298–4302., , and
2000. Bell measurements and observables. Phys. Lett. A, 272, 32., , and
2005. Classical randomness in quantum measurements. J. Phys. A: Math. Gen., 38(26), 5979–5991., , and
2006. Optimal estimation of quantum observables. J. of Math. Phys., 47, 022102–1., , and
2007. Reexamination of quantum bit commitment: the possible and the impossible. Phys. Rev. A, 76, 032328., , , and
2014a. Determinism without causality. Physica Scripta, T163, 014013., , and
2014b. Fermionic computation is non-local tomographic and violates monogamy of entanglement. EPL (Europhysics Letters), 107(2), 20009., , , and
1977. Quantum dynamical semigroups and the neutron diffusion equation. Rep. Math. Phys., 11, 169.
1982. Communication by EPR devices. Phys. Lett. A, 92(6), 271–272.
2007. Physical Causation. Cambridge Studies in Probability, Induction and Decision Theory. Cambridge: Cambridge University Press.
1978. Bell's theorem and the different concepts of locality. Il Nuovo Cimento B Series 11, 46(2), 392–419.
1935. Can quantum-mechanical description of physical reality be considered complete?
Phys. Rev., 47(10), 777–780., , and
1991. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67(6), 661.
2008. On the flow of time. arXiv preprint arXiv:0812.0240.
1965. The Character of Physical Law.
London: BBC Books.
1984. A note on misunderstandings of Piron's axioms for quantum mechanics. Found. Phys., 14, 65–88. and
1983. Realism, operationalism, and quantum mechanics. Found. Phys., 13, 813–841., , and
2002. Quantum mechanics as quantum information (and only a little more). arXiv preprint quant-ph/0205039.
2003. Quantum mechanics as quantum information, mostly. J. of Modern Optics, 50(6-7), 987–1023.
2013. Quantum-Bayesian coherence. Rev. Mod. Phys., 85, 1693–1715. and
2001. Quantum foundations in the light of quantum information. NATO Science Series Sub Series III Comp. Syst. Sci., 182, 38–82., et al.
1980. A general argument against superluminal transmission through the quantum mechanical measurement process. Lettere Al Nuovo Cimento (1971–1985), 27(10), 293–298., , and
2000. Philosophical Theories of Probability. Move Psychology Press.
1966. Simultaneous measurements of noncommuting observables. Phys. of Quantum Elec., 1, 833–840. and
1976. Completely positive dynamical semigroups of N-level systems. J. Math. Phys., 17, 821., , and
2010. Origin of complex quantum amplitudes and Feynman's rules. Phys. Rev. A, 81(Feb), 022109., , and
2003. Quantum lost and found. Journal of Modern Optics, 50(6-7), 915–933. and
2010. All reversible dynamics in maximally nonlocal theories are trivial. Phys. Rev. Lett., 104(Feb), 080402., , , and
1996. A fast quantum mechanical algorithm for database search. Pages 212–219 of: Proceedings of the Twenty-eighth Annual ACM Symposium on Theory of Computing. STOC–96. New York, NY: ACM.
1993. Local Quantum Physics. Berlin: Springer-Verlag.
1996. Local Quantum Physics: Fields, Particles, Algebras, Vol. 2. Berlin: Springer. and
2001. Quantum theory from five reasonable axioms. arXiv:quant-ph/0101012.
2011. Reformulating and reconstructing quantum theory. quant-ph, Apr.
2012. Limited holism and real-vector-space quantum theory. Found. Phys., 42(3), 454–473. and
1930. The Physical Principles of the Quantum Theory. Trans. and . Chicago, IL: Chicago University Press.
1976. Quantum Detection and Estimation Theory.Mathematics in Science and Engineering, Vol. 123. New York NY: Academic Press.
1982. FLASH – A superluminal communicator based upon a new kind of quantum measurement. Found. Phys., 12, 1171.
1928. Über die Grundlagen der Quantenmechanik. Mathematische Annalen, 98(1), 1–30., von , and
1982. Probabilistic and Statistical Aspects of Quantum Theory. Series in Statistics and Probability, vol. 1. Amsterdam: North-Holland.
2011. The Choi–Jamiolkowski forms of quantum Gaussian channels. J. Math. Phys., 52(4), 042202.
1996. Separability of mixed states: necessary and sufficient conditions. Phys. Lett. A, 223, 1–8., , and
1993. Logical reversibility in quantum-nondemolition measurements. Phys. Rev. A, 47, R4577–R4580.
1972. Linear transformations which preserve trace and positive semidefiteness of operators. Rep. Math. Phys., 3, 275.
1963. Can hidden variables be excluded in quantum mechanics?
Helv. Phys. Acta, 36, 827. and
2003. Probability Theory: The Logic of Science. Cambridge: Cambridge University Press.
2007. Toward a General Theory of Quantum Games. Vol. STOC–07 Symposium on Theory of Computing Conference. New York, NY: ACM. and (eds)
1934. On an algebraic generalization of the quantum mechanical formalism. Ann. Math., 35, 29., , and
1991. The geometry of tensor calculus, I. Adv. Math., 88(1), 55–112. and
2011. How the Hippies Saved Physics: Science, Counterculture, and the Quantum Revival. New York: WW Norton & Company.
1980. Perturbation Theory for Linear Operators. New York, NY: Springer.
2004. A Treatise on Probability. Dover Books on Mathematics Series. Mineola, NY: Dover Publications.
1997. Theory of quantum error-correcting codes. Phys. Rev. A, 55(Feb), 900–911. and
2005. Quantum channels with memory. Phys. Rev. A, 72, 062323. and
2001. Towards Robust Quantum Computation PhD thesis, Stanford University. Ljys, 48, 199.
1999. A general no-cloning theorem. Lett. Math. Phys., 47(2), 189–196.
1997. Is quantum bit commitment really possible?
Phys. Rev. Lett., 78, 3410. and
1983. Foundations of Quantum Mechanics. New York, NY: Springer-Verlag.
1978. Categories for the Working Mathematician, Vol. 5. Berlin: Springer Science & Business Media.
1963. The Mathematical Foundations of Quantum Mechanics, Vol. 1. Mineola, NY: Dover Publications.
2011. A derivation of quantum theory from physical requirements. New J. Phys., 13(6), 063001. and
2013. Existence of an information unit as a postulate of quantum theory. Proc. Nat. Acad. Sci., 110(41), 16373–16377., , , and
1997. Unconditionally secure quantum bit commitment is impossible. Phys. Rev. Lett., 78, 3414.
1997. Programmable quantum gate arrays. Phys. Rev. Lett., 79(2), 321–324. and
2012. Quantum correlations with no causal order. Nature Commun., 3, 1092., , and
1984. Quantum measuring processes of continuous observables. J. Math. Phys., 25, 79.
1997. Quantum state reduction and the quantum bayes principle. Pages 233– 241 of: , S., and (eds), Quantum Communication, Computing and Measurement. New York, NY: Plenum.
2004. Quantum State Estimation, Vol. 649. Berlin: Springer. and
1999. Extremal decision rules in quantum hypothesis testing. Infin. Dimens. Anal. Quantum. Probab. Relat. Top., 02(04), 557–568.
1986. Completely Bounded Maps and Dilations. Harlow, UK: Longman Scientific and Technical.
2012. Causality: Models, Reasoning, and Inference. Cambridge: Cambridge University Press.
1971. Applications of negative dimensional tensors. Pages 221–244 of: (ed.), Combinatorial Mathematics and its Applications. New York, NY: Academic Press.
1964. Axiomatique quantique. Helvetica Phys. Acta, 37(4-5), 439.
1976. Foundations of Quantum Physics. Mathematical Physics Monograph Series. Benjamin-Cummings Publishing Company.
1941. Der Kausalbegriff in der Physik. Verlag von S. Hirzel.
2007. An introduction to entanglement measures. Quantum Inf. Comput., 7, 1. and
2015. Experimental superposition of orders of quantum gates. Nature Commun., 6(Aug.), 7913., , , , , , et al.
2012. Functional quantum computing: an optical approach. arXiv:1211.1257., , , and
2015. Convex Analysis. Princeton, NJ: Princeton University Press.
1994. Reversible quantum measurements on a spin 1/2 and measuring the state of a single system. Phys. Rev. Lett., 73, 913–917.
1995. Reversible quantum measurements on a spin 1/2 and measuring the state of a single system (erratum). Phys. Rev. Lett., 74, 1040–1040.
1912. On the notion of cause. Proc. Aristotelian Soc., 13, 1–26.
1967. The Foundations Of Scientific Inference. Pittsburgh, PA: University of Pittsburgh Press.
1998. Causality and Explanation: Wesley C. Salmon. Oxford Scholarship online. Oxford University Press.
1935a. Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften, 23, 807–812; 823–828; 844–849.
1935b. Probability relations between separated systems. Pages 555–563 of: Proc. Camb. Phil. Soc, vol. 31. Cambridge Univ Press.
1996. Sending entanglement through noisy quantum channels. Phys. Rev. A, 54, 2614–2628.
1996. Quantum data processing and error correction. Phys. Rev. A, 54, 2629–2635. and
2012. Modal quantum theory. Found. Phys., 42(7), 918–925. and
2009. SIC-POVMs: a new computer study. arXiv preprint arXiv:0910.5784. and
Survey of Graphical Languages for Monoidal Categories. Available at www.mathstat.dal.ca/selinger/papers/graphical.pdf.
2011. A survey of graphical languages for monoidal categories. Pages 289–355 of: New Structures for Physics. Berlin: Springer.
1997. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comp., 26(5), 1484–1509.
1993. Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum. Phys. Rev. Lett., 70(Mar), 1244–1247., , , and
1970. A model of set theory in which every set of reals is Lebesgue measurable. Annals of Mathematics, 92, 1–56.
1992. Reversibility in quantum measurement processes. Phys.Rev. Lett., 68, 3424–3427. and
1977. Relative entropy and the Wigner–Yanase–Dyson–Lieb concavity in an interpolation theory. Commun. Math. Phys., 54(1), 21–32.
1962. Probability in physics and a theorem on simultaneous observability. Comm. Pure Appl. Math., 15, 189.
1989. Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase. Phys. Rev. A, 40(Sep), 2847–2849. and
1932. Mathematische Grundlagen der Quantenmechanik. Berlin: Springer-Verlag. Translated as Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955. Chap. 4.
1996. Mathematical Foundations of Quantum Mechanics, Vol. 2. Princeton, NJ: Princeton university press.
1989. Quantum states with Einstein–Podolsky–Rosen correlations admitting a hidden-variable model. Phys. Rev. A, 40, 4277–4281.
1990. Complexity, entropy and the physics of information. In: (ed.), Santa Fe Institute Studies in the Sciences of Complexity, Proceedings of the 1988 Workshop on Complexity, Entropy and the Physics of Information, Santa Fe, New Mexico, May–June, 1989. Redwood City, CA: Addison-Wesley.
1983. Conjugate coding. Sigact News, 15, 78.
2010. Formalism and interpretation in quantum theory. Foundations of Physics, 40(4), 434–462.
2012. Conjugates, correlation and quantum mechanics. arXiv:1206.2897.
1982. A single quantum cannot be cloned. Nature, 299(5886), 802–803. and
1993. Quantum circuit complexity. Pages 352–361 of: Proceedings of Thirty-fourth IEEE Symposium on Foundations of Computer Science (FOCS1993).
1986. Amplification of quantum states and noiseless photon amplifiers. Phys. Lett. A, 113, 405–407.
2012. An unconditionally secure quantum bit commitment protocol. arXiv preprint arXiv:arXiv:1212.0938v1.