1,986 research outputs found
A note on many valued quantum computational logics
The standard theory of quantum computation relies on the idea that the basic
information quantity is represented by a superposition of elements of the
canonical basis and the notion of probability naturally follows from the Born
rule. In this work we consider three valued quantum computational logics. More
specifically, we will focus on the Hilbert space C^3, we discuss extensions of
several gates to this space and, using the notion of effect probability, we
provide a characterization of its states.Comment: Pages 15, Soft Computing, 201
Fredkin Gates for Finite-valued Reversible and Conservative Logics
The basic principles and results of Conservative Logic introduced by Fredkin
and Toffoli on the basis of a seminal paper of Landauer are extended to
d-valued logics, with a special attention to three-valued logics. Different
approaches to d-valued logics are examined in order to determine some possible
universal sets of logic primitives. In particular, we consider the typical
connectives of Lukasiewicz and Godel logics, as well as Chang's MV-algebras. As
a result, some possible three-valued and d-valued universal gates are described
which realize a functionally complete set of fundamental connectives.Comment: 57 pages, 10 figures, 16 tables, 2 diagram
Fuzzy approach for CNOT gate in quantum computation with mixed states
In the framework of quantum computation with mixed states, a fuzzy
representation of CNOT gate is introduced. In this representation, the
incidence of non-factorizability is specially investigated.Comment: 14 pages, 2 figure
Noise-based information processing: Noise-based logic and computing: what do we have so far?
We briefly introduce noise-based logic. After describing the main motivations
we outline classical, instantaneous (squeezed and non-squeezed), continuum,
spike and random-telegraph-signal based schemes with applications such as
circuits that emulate the brain functioning and string verification via a slow
communication channel.Comment: Invited talk at the 21st International Conference on Noise and
Fluctuations, Toronto, Canada, June 12-16, 201
Quantum Computer with Mixed States and Four-Valued Logic
In this paper we discuss a model of quantum computer in which a state is an
operator of density matrix and gates are general quantum operations, not
necessarily unitary. A mixed state (operator of density matrix) of n two-level
quantum systems is considered as an element of 4^n-dimensional operator Hilbert
space (Liouville space). It allows to use a quantum computer model with
four-valued logic. The gates of this model are general superoperators which act
on n-ququat state. Ququat is a quantum state in a four-dimensional (operator)
Hilbert space. Unitary two-valued logic gates and quantum operations for an
n-qubit open system are considered as four-valued logic gates acting on
n-ququat. We discuss properties of quantum four-valued logic gates. In the
paper we study universality for quantum four-valued logic gates.Comment: 17 page
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