منابع مشابه
Randomness: quantum versus classical
Recent tremendous development of quantum information theory led to a number of quantum technological projects, e.g., quantum random generators. This development stimulates a new wave of interest in quantum foundations. One of the most intriguing problems of quantum foundations is elaboration of a consistent and commonly accepted interpretation of quantum state. Closely related problem is clarif...
متن کاملQuantum Chaos, Classical Randomness, and Bohmian Mechanics
Department of Mathematics Rutgers University New Brunswick, NJ 08903 Abstract. It is argued that dynamical chaos in quantum mechanics arises solely from the collapse rule applied in measurements. As such it is quite distinct from classical (deterministic) chaos, which arises from the dynamical law itself. It is shown, however, that if the particles of a quantum system are regarded as “real,” i....
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Motivated by recent work on quantum black-box query complexity, we consider quantum versions of two wellstudied models of learning Boolean functions: Angluin’s model of exact learning from membership queries and Valiant’s Probably Approximately Correct (PAC) model of learning from random examples. For each of these two learning models we establish a polynomial relationship between the number of...
متن کاملOn spin systems with quenched randomness: Classical and quantum
The rounding of first-order phase transitions by quenched randomness is stated in a form which is applicable to both classical and quantum systems: The free energy, as well as the ground state energy, of a spin system on a d-dimensional lattice is continuously differentiablewith respect to anyparameter in theHamiltonian towhich some randomness has been added when d ≤ 2. This implies absence of ...
متن کاملClassical, Quantum and Biological Randomness as Relative Incomputability
In this paper we briefly discuss various forms of randomness that physics, mathematics and computing have proposed. Classical and quantum physics view randomness, that we describe as unpredictability in the intended theory, in di↵erent ways. Computing allows to discuss this issue in an abstract, yet very expressive mean, which yields useful hierarchies of randomness and may help to relate its v...
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ژورنال
عنوان ژورنال: International Journal of Quantum Information
سال: 2016
ISSN: 0219-7499,1793-6918
DOI: 10.1142/s0219749916400098