How We May Be Free From Physics - Philsci
... possibility of real alternatives. (2) It is not possible to change the past. (3) It is not possible to violate the laws. There is a large literature debating the necessity of (1); and the most prominent line is what is known as the Frankfurt-type cases against the “principle of alternative possibili ...
... possibility of real alternatives. (2) It is not possible to change the past. (3) It is not possible to violate the laws. There is a large literature debating the necessity of (1); and the most prominent line is what is known as the Frankfurt-type cases against the “principle of alternative possibili ...
The Quantum Mechanical Frame of Reference Andrew Soltau
... primarily in the difference in the definition of the quantum state from different viewpoints. As Tegmark states: A key issue is to understand the relationship between two different ways of perceiving a mathematical structure. On one hand, there is what we will call the “view from outside” ... w ...
... primarily in the difference in the definition of the quantum state from different viewpoints. As Tegmark states: A key issue is to understand the relationship between two different ways of perceiving a mathematical structure. On one hand, there is what we will call the “view from outside” ... w ...
How to Construct Quantum Random Functions
... corresponds to an input/output pair of PRF. To evaluate PRF, we start at the root, and follow the path from root to the leaf corresponding to the input. The security proof consists of two hybrid arguments: the first across levels of the tree, and the second across the nodes in a particular level. Th ...
... corresponds to an input/output pair of PRF. To evaluate PRF, we start at the root, and follow the path from root to the leaf corresponding to the input. The security proof consists of two hybrid arguments: the first across levels of the tree, and the second across the nodes in a particular level. Th ...
Modeling and Control of Quantum Systems: An Introduction
... distribution P(ω) = µω associated to the spectrum of ρ. The “classical” rules are then retrieved from the quantum ones: the probability of an event Π can be computed through its spectrum π, playing the role of the indicator function: ...
... distribution P(ω) = µω associated to the spectrum of ρ. The “classical” rules are then retrieved from the quantum ones: the probability of an event Π can be computed through its spectrum π, playing the role of the indicator function: ...
The Quantum World
... analogy with the 'real' world of everyday experience is direct. In classical physics I can know both where an electron is and what it is doing. In more technical language, its position and momentum can both simultaneously be known. Such an object is not so very different from a table or a cow, conce ...
... analogy with the 'real' world of everyday experience is direct. In classical physics I can know both where an electron is and what it is doing. In more technical language, its position and momentum can both simultaneously be known. Such an object is not so very different from a table or a cow, conce ...
M15/03
... In Section 3 we considered 4-dimensional coupling constants ckn,j = a(xn,4j+k ), n = 1, 2, . . ., j = 0, 1, . . . , 4n−1 − 1, k = 0, 1, 2, 3 that satisfied (3.1). How do we know that such coupling constants exist? Certainly there exist trivial coupling constants satisfying ckn,j = 0 or 1, but what a ...
... In Section 3 we considered 4-dimensional coupling constants ckn,j = a(xn,4j+k ), n = 1, 2, . . ., j = 0, 1, . . . , 4n−1 − 1, k = 0, 1, 2, 3 that satisfied (3.1). How do we know that such coupling constants exist? Certainly there exist trivial coupling constants satisfying ckn,j = 0 or 1, but what a ...
Quantum Error Correction
... generators of S. E and F have the same error syndrome iff E†F N(S). (Then E and F commute with the same set of generators of S.) If E†F N(S), the error syndrome can distinguish them. When E†F S, E and F act the same on codewords, and there is no need to distinguish them. The code corrects erro ...
... generators of S. E and F have the same error syndrome iff E†F N(S). (Then E and F commute with the same set of generators of S.) If E†F N(S), the error syndrome can distinguish them. When E†F S, E and F act the same on codewords, and there is no need to distinguish them. The code corrects erro ...
Quantum process tomography of two-qubit controlled-Z
... on excellent control of the underlying quantum system.1 Reasonable control has been achieved with a variety of quantum systems with superconducting qubits emerging as one of the most promising candidates.2 Recent experiments using superconducting architectures include demonstrations of quantum algor ...
... on excellent control of the underlying quantum system.1 Reasonable control has been achieved with a variety of quantum systems with superconducting qubits emerging as one of the most promising candidates.2 Recent experiments using superconducting architectures include demonstrations of quantum algor ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.