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... where the graphs are represented by their adjacency matrices, and querying the graph corresponds to reading a single entry from its adjacency matrix. The goal in isomorphism testing is to determine, with high probability, whether two graphs G and H are isomorphic or -far from being isomorphic, maki ...
... where the graphs are represented by their adjacency matrices, and querying the graph corresponds to reading a single entry from its adjacency matrix. The goal in isomorphism testing is to determine, with high probability, whether two graphs G and H are isomorphic or -far from being isomorphic, maki ...
A Brief Review on Quantum Bit Commitment
... measurements is more suitable for computational purposes, rather than cryptographic [17]. Even if Alice had access to QND measurements, she would need a stable long-term quantum memory in order to perform the measurements later in time. Advances in quantum-memories technology are also significant an ...
... measurements is more suitable for computational purposes, rather than cryptographic [17]. Even if Alice had access to QND measurements, she would need a stable long-term quantum memory in order to perform the measurements later in time. Advances in quantum-memories technology are also significant an ...
Approximate Quantum Error-Correcting Codes and Secret Sharing
... However, this bound only applies to codes which recover the message exactly. Naively, one might expect that correcting errors to very high fidelity would only allow small violations of this bound. This intuition is incorrect: in this paper we describe quantum error-correcting codes capable of correc ...
... However, this bound only applies to codes which recover the message exactly. Naively, one might expect that correcting errors to very high fidelity would only allow small violations of this bound. This intuition is incorrect: in this paper we describe quantum error-correcting codes capable of correc ...
An Introduction to QBism with an Application to the Locality of
... The subjective view returns probability theory to its historic origins in gambling. An agent’s probabilities are defined by her willingness to place or accept any bets she believes to be favorable to her on the basis of those probabilities. It is a striking, and, for most physicists, surprising fact ...
... The subjective view returns probability theory to its historic origins in gambling. An agent’s probabilities are defined by her willingness to place or accept any bets she believes to be favorable to her on the basis of those probabilities. It is a striking, and, for most physicists, surprising fact ...
Science, consciousness and World-View
... produce huge changes in the overall behaviour of the system. It is the same with Planck’s constant and quantum theory. The implications of non-locality The second of the two fundamental discoveries of quantum theory is non-locality. “Local” means to do with place, or restricted in space, as opposed ...
... produce huge changes in the overall behaviour of the system. It is the same with Planck’s constant and quantum theory. The implications of non-locality The second of the two fundamental discoveries of quantum theory is non-locality. “Local” means to do with place, or restricted in space, as opposed ...
The Effect of Communication Costs in Solid
... Among these implementations, the solid state systems are perhaps the most intriguing, because of the extensive investment that has been made in semiconductor technology for conventional classical computing, and the potential for scaling to large numbers of qubits. One such scheme, proposed by Kane, ...
... Among these implementations, the solid state systems are perhaps the most intriguing, because of the extensive investment that has been made in semiconductor technology for conventional classical computing, and the potential for scaling to large numbers of qubits. One such scheme, proposed by Kane, ...
Are quantum particles objects? - General Guide To Personal and
... particle is in which state - there is no such determinate rule here. It is like the symmetrized triadic ‘the …rst particle is in the state ‘const. '’ the second in the state ‘const. ’, the third in the state ‘const. ’, or the …rst particle is in the state ‘const. '’, the second in the state ‘const. ...
... particle is in which state - there is no such determinate rule here. It is like the symmetrized triadic ‘the …rst particle is in the state ‘const. '’ the second in the state ‘const. ’, the third in the state ‘const. ’, or the …rst particle is in the state ‘const. '’, the second in the state ‘const. ...
Quantum Computing and Parallel (Multicore) Processing
... designed, we need to understand quantum physics rather than classical physics since it is quantum physics that describes these small entities. There’s some surprising behaviour to be had at this atomic scale as we shall discover. As an aside, it is possible to compute anything, using billiard balls! ...
... designed, we need to understand quantum physics rather than classical physics since it is quantum physics that describes these small entities. There’s some surprising behaviour to be had at this atomic scale as we shall discover. As an aside, it is possible to compute anything, using billiard balls! ...
Some Quantum Computational Circuits
... designed, we need to understand quantum physics rather than classical physics since it is quantum physics that describes these small entities. There’s some surprising behaviour to be had at this atomic scale as we shall discover. As an aside, it is possible to compute anything, using billiard balls! ...
... designed, we need to understand quantum physics rather than classical physics since it is quantum physics that describes these small entities. There’s some surprising behaviour to be had at this atomic scale as we shall discover. As an aside, it is possible to compute anything, using billiard balls! ...
Probability density of quantum expectation values
... the probability density defined as PA (a) := δ (hψ|A|ψi − a) where the overline f (ψ) = Dψ f (ψ) indicates Haar-induced averages over pure states. The probability distribution for hψ|Ak |ψi is trivially obtained with the substitution A → Ak . The probability density PA (a) has been first considered ...
... the probability density defined as PA (a) := δ (hψ|A|ψi − a) where the overline f (ψ) = Dψ f (ψ) indicates Haar-induced averages over pure states. The probability distribution for hψ|Ak |ψi is trivially obtained with the substitution A → Ak . The probability density PA (a) has been first considered ...
A Quantum Rosetta Stone for Interferometry
... transformation (Fig. 1c). This representation is more mathematical than the previous two, and it allows us to extract the unifying mathematical principle that connects the three systems. In all protocols, the initial state is transformed by a discrete Fourier transform (beam splitter, π/2-pulse or H ...
... transformation (Fig. 1c). This representation is more mathematical than the previous two, and it allows us to extract the unifying mathematical principle that connects the three systems. In all protocols, the initial state is transformed by a discrete Fourier transform (beam splitter, π/2-pulse or H ...
QUANTUM HETERODOXY: REALISM AT THE PLANK LENGTH Q
... We have already noted that the momentum wave function is the Fourier transform of the position wave function. We now point out an important fact about the supports of the two functions. The Paley-Weiner Theorem states that if the support of ψ(x) is compact then the support of its Fourier transform i ...
... We have already noted that the momentum wave function is the Fourier transform of the position wave function. We now point out an important fact about the supports of the two functions. The Paley-Weiner Theorem states that if the support of ψ(x) is compact then the support of its Fourier transform i ...
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.