منابع مشابه
Unsharp Quantum Reality
The positive operator (valued) measures (POMs) allow one to generalize the notion of observable beyond the traditional one based on projection valued measures (PVMs). Here, we argue that this generalized conception of observable enables a consistent notion of unsharp reality and with it a concept of joint properties. A property manifests itself as an element of unsharp reality by its power, or ...
متن کاملTuring machines based on unsharp quantum logic
In this paper, we consider Turing machines based on unsharp quantum logic. For a lattice-ordered quantum multiple-valued (MV) algebra E , we introduce E -valued non-deterministic Turing machines (E NTMs) and E -valued deterministic Turing machines (E DTMs). We discuss different E valued recursively enumerable languages from width-first and depth-first recognition. We find that width-first recog...
متن کاملAn Unsharp Logic from Quantum Computation
Logical gates studied in quantum computation suggest a natural logical abstraction that gives rise to a new form of unsharp quantum logic. We study the logical connectives corresponding to the following gates: the Toffoli gate, the NOT and the √ NOT (which admit of natural physical models). This leads to a semantic characterization of a logic that we call computational quantum logic (CQL).
متن کاملAutomata theory based on unsharp quantum logic
By studying two unsharp quantum structures, namely extended lattice ordered effect algebras and lattice ordered QMV algebras, we obtain some characteristic theorems of MV algebras. We go on to discuss automata theory based on these two unsharp quantum structures. In particular, we prove that an extended lattice ordered effect algebra (or a lattice ordered QMV algebra) is an MV algebra if and on...
متن کاملEPR-Bell Tests with Unsharp Observables and Relativistic Quantum Measurement
In this contribution I will review the analysis of the Einstein-Podolsky-Rosen argument [19], Bell’s inequalities [5] and of associated experiments for spins in terms of positive operator valued measures (in short: povms). Specifically, I will explore the relation between the Clauser-Horne-Shimony-Holt (CHSH) [16] inequality and a fundamental classicality property of observables – their coexist...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1998
ISSN: 0196-8858
DOI: 10.1006/aama.1997.0575