Centre for Logic and Philosophy of Science
... a mechanical system can also be defined exactly for atomic processes in analogy to the classical concepts. The experiments which provide such a definition themselves suffer an indeterminacy introduced purely by the observational procedures we use when we ask of them the simultaneous determination of ...
... a mechanical system can also be defined exactly for atomic processes in analogy to the classical concepts. The experiments which provide such a definition themselves suffer an indeterminacy introduced purely by the observational procedures we use when we ask of them the simultaneous determination of ...
Achieving quantum supremacy with sparse and noisy commuting
... Conjecture 2. Let f : {0, 1}n → {0, 1} be a uniformly random degree-3 polynomial over F2 , and define ngap(f ) := (|{x : f (x) = 0}| − |{x : f (x) = 1}|)/2n . Then it is #P-hard to approximate ngap(f )2 up to a multiplicative error of 1/4 + o(1) for a 1/24 fraction of polynomials f . It was shown in ...
... Conjecture 2. Let f : {0, 1}n → {0, 1} be a uniformly random degree-3 polynomial over F2 , and define ngap(f ) := (|{x : f (x) = 0}| − |{x : f (x) = 1}|)/2n . Then it is #P-hard to approximate ngap(f )2 up to a multiplicative error of 1/4 + o(1) for a 1/24 fraction of polynomials f . It was shown in ...
An Historical and Modern View on Bell`s Inequality
... We start by discussing some aspects of quantum theory, like the concept of states, the measurement problem, interpretations of the theory etcetera. Then we come to the prehistory of Bell’s inequality: the EPR paradox, von Neumann’s completeness proof, and the Kochen-Specker theorem. Via causality, c ...
... We start by discussing some aspects of quantum theory, like the concept of states, the measurement problem, interpretations of the theory etcetera. Then we come to the prehistory of Bell’s inequality: the EPR paradox, von Neumann’s completeness proof, and the Kochen-Specker theorem. Via causality, c ...
Reliable quantum computers
... Many of us are hopeful that quantum computers will become practical and useful computing devices some time during the 21st century. It is probably fair to say, though, that none of us can now envision exactly what the hardware of that machine of the future will be like; surely, it will be much diffe ...
... Many of us are hopeful that quantum computers will become practical and useful computing devices some time during the 21st century. It is probably fair to say, though, that none of us can now envision exactly what the hardware of that machine of the future will be like; surely, it will be much diffe ...
Machine Learning for Medical Diagnosis
... Good performance: The algorithm has to be able to extract significant information from the available data. The diagnostic accuracy on new cases has to be as high as possible. Typically, most of the algorithms perform at least as well as the physicians and often the classification accuracy of machine ...
... Good performance: The algorithm has to be able to extract significant information from the available data. The diagnostic accuracy on new cases has to be as high as possible. Typically, most of the algorithms perform at least as well as the physicians and often the classification accuracy of machine ...
Life beyond quantum physics
... “Biology, the scientific study of living organisms, is concerned with both mechanistic explanations and with the study of function.” (Purves et al., 1992) The fact that biology must present not only the mechanistic, but also functional explanations, is directly related to the fact that while in clas ...
... “Biology, the scientific study of living organisms, is concerned with both mechanistic explanations and with the study of function.” (Purves et al., 1992) The fact that biology must present not only the mechanistic, but also functional explanations, is directly related to the fact that while in clas ...
PDF
... redirected towards each other by atomic mirrors. Finally, the converging components are recombined by another atomic beam splitter. Under these conditions, it is simple to define the area of the interferometer by considering the center of mass motion of the split components. However, this model is i ...
... redirected towards each other by atomic mirrors. Finally, the converging components are recombined by another atomic beam splitter. Under these conditions, it is simple to define the area of the interferometer by considering the center of mass motion of the split components. However, this model is i ...
Supmech: the Geometro-statistical Formalism Underlying Quantum
... theory) and serves to develop quantum mechanics autonomously (i.e. without having to quantize classical systems). Integrating noncommutative symplectic geometry and noncommutative probability in an algebraic setting, it associates, with every ‘experimentally accessible’ system, a symplectic superalg ...
... theory) and serves to develop quantum mechanics autonomously (i.e. without having to quantize classical systems). Integrating noncommutative symplectic geometry and noncommutative probability in an algebraic setting, it associates, with every ‘experimentally accessible’ system, a symplectic superalg ...
Quantum Error Correction
... Let us examine more closely the error syndrome for the classical repetition code. A correctly-encoded state 000 or 111 has the property that the first two bits have even parity (an even number of 1’s), and similarly for the 2nd and 3rd bits. A state with an error on one of the first two bits has odd ...
... Let us examine more closely the error syndrome for the classical repetition code. A correctly-encoded state 000 or 111 has the property that the first two bits have even parity (an even number of 1’s), and similarly for the 2nd and 3rd bits. A state with an error on one of the first two bits has odd ...
INCT_IQ_ENG_1 - Instituto de Física / UFRJ
... Revolution´´, where quantum properties play an essential. Even though most information processing devices depend on the laws of Quantum Mechanics (like in a transistor), the information in itself is of a classical nature. Here we are referring to the usual classical bits of information, which are pr ...
... Revolution´´, where quantum properties play an essential. Even though most information processing devices depend on the laws of Quantum Mechanics (like in a transistor), the information in itself is of a classical nature. Here we are referring to the usual classical bits of information, which are pr ...
Monday, Apr. 4, 2005
... • Equations of motion can be obtained through – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion that minimizes the Hamiltonian under changes of coordinates ...
... • Equations of motion can be obtained through – Lagrangian formalism: L=T-V where the Equation of motion is what minimizes the lagrangian L under changes of coordinates – Hamiltonian formalism: H=T+V with the equation of motion that minimizes the Hamiltonian under changes of coordinates ...
Information and Entropy in Neural Networks and Interacting Systems
... networks and identify the similarities and differences with the classical prototype. We indicate why entropy may be an important concept for a neural network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact al ...
... networks and identify the similarities and differences with the classical prototype. We indicate why entropy may be an important concept for a neural network and why a generalization of the definition of entropy may be required. Like neural networks, large ensembles of similar units that interact al ...
quantum computing for computer scientists
... values of states that cannot occur thereby representing the non-solutions of the system, which is the opposite of the conventional meaning. Third, in order for two vectors to exactly cancel, they must be simultaneous, so addition means concurrency in time. This interpretation is consistent with the ...
... values of states that cannot occur thereby representing the non-solutions of the system, which is the opposite of the conventional meaning. Third, in order for two vectors to exactly cancel, they must be simultaneous, so addition means concurrency in time. This interpretation is consistent with the ...
ptt-file - Parmenides Foundation
... What is distance? The same network may allow for different “distance structures” (metrical structures) For a society of people we can define “distance” according to: • physical distance • friendship distance • communication distance (two people making a phone call are “close” to each other with res ...
... What is distance? The same network may allow for different “distance structures” (metrical structures) For a society of people we can define “distance” according to: • physical distance • friendship distance • communication distance (two people making a phone call are “close” to each other with res ...
Quantum Structures
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...