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... in which we have assumed that the detector d is such that |d >< d| = P̂d , a linear operator acting on the Hilbert space. In Feynman’s notation the inner product of ψ± and P̂d ψ± equals the probability |hd|±i|2 , that is, hψ± , P̂d ψ± )i = |hd|±i|2 and hψ+ , P̂d ψ− i = h+|dihd|−i These formulae can ...
... in which we have assumed that the detector d is such that |d >< d| = P̂d , a linear operator acting on the Hilbert space. In Feynman’s notation the inner product of ψ± and P̂d ψ± equals the probability |hd|±i|2 , that is, hψ± , P̂d ψ± )i = |hd|±i|2 and hψ+ , P̂d ψ− i = h+|dihd|−i These formulae can ...
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... possible -- cannot be done in quite the way physicists would like. Central to Kochen and Specker's theorem is a thought experiment. Say you choose to measure different properties of a quantum system such as the position or velocity of a quantum particle. Each time you do so, you will find that your ...
... possible -- cannot be done in quite the way physicists would like. Central to Kochen and Specker's theorem is a thought experiment. Say you choose to measure different properties of a quantum system such as the position or velocity of a quantum particle. Each time you do so, you will find that your ...
... locations or nodes by means of single photons traveling qubits, which are guided through waveguides. Interestingly, this coherent interface, which is responsible for the state of the storage qubits to be mapped onto the traveling qubits or the entanglement between them, is itself a qubit system, t ...
Document
... trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its ...
... trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its ...
Postulates of Quantum Mechanics
... The state space of any closed physical system is a complex vector space. At any given point in time, the system is completely described by a state vector, which is a unit vector in its state space. Note: Quantum mechanics does not prescribe what the state space of a particular physical system is, th ...
... The state space of any closed physical system is a complex vector space. At any given point in time, the system is completely described by a state vector, which is a unit vector in its state space. Note: Quantum mechanics does not prescribe what the state space of a particular physical system is, th ...
Quantum graphs and the integer quantum Hall effect
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
Exploring the quantum speed limit with computer games arXiv
... shown in Fig. 3b. Using the first solution, marked in yellow in Fig. 3b, the atom is collected by tunneling the wave function into a tweezer potential placed on the left hand side of the static potential. In the second class of shoveling solutions, marked in blue in Fig. 3b, the tweezer is moved pas ...
... shown in Fig. 3b. Using the first solution, marked in yellow in Fig. 3b, the atom is collected by tunneling the wave function into a tweezer potential placed on the left hand side of the static potential. In the second class of shoveling solutions, marked in blue in Fig. 3b, the tweezer is moved pas ...
Experiments with single photons
... any predetermined message unintelligible. However, a random number does not suffer from this disadvantage, since it remains random (but not the same) after a random decimation of its digits. And random numbers constitute a valuable resource, because they cannot be guessed and can therefore be used as ...
... any predetermined message unintelligible. However, a random number does not suffer from this disadvantage, since it remains random (but not the same) after a random decimation of its digits. And random numbers constitute a valuable resource, because they cannot be guessed and can therefore be used as ...
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.