
While the ramifications of quantum computers
... Gil Kalai writes, “The main concern regarding the feasibility of quantum computers has always been that quantum systems are inherently noisy: we cannot accurately control them, and we cannot accurately describe them…What is noise?... Noise refers to the general effect of neglecting degrees of freedo ...
... Gil Kalai writes, “The main concern regarding the feasibility of quantum computers has always been that quantum systems are inherently noisy: we cannot accurately control them, and we cannot accurately describe them…What is noise?... Noise refers to the general effect of neglecting degrees of freedo ...
Programming with Quantum Communication
... quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all in the same framework. There has been a number of proposals for formal approaches to quantum programming, including the language qGCL [19,27], process algebraic app ...
... quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all in the same framework. There has been a number of proposals for formal approaches to quantum programming, including the language qGCL [19,27], process algebraic app ...
Unitary time evolution
... Quantum circuits There are infinitely many possible two-bit gates; but in practice such unitaries are difficult to do. Fortunately, it turns out that just the CNOT (or almost any other two-bit gate), together with one-bit gates, can be used to build up any unitary. (We will prove this later in the ...
... Quantum circuits There are infinitely many possible two-bit gates; but in practice such unitaries are difficult to do. Fortunately, it turns out that just the CNOT (or almost any other two-bit gate), together with one-bit gates, can be used to build up any unitary. (We will prove this later in the ...
Quantum Polarization
... 12) One of a pair of entangled photons is sent toward double slits that normally produce an interference pattern. These slits are covered with horizontal and vertical polarizing filters. The partner photon is sent off in a completely different direction - it never goes near the slits. This is repeat ...
... 12) One of a pair of entangled photons is sent toward double slits that normally produce an interference pattern. These slits are covered with horizontal and vertical polarizing filters. The partner photon is sent off in a completely different direction - it never goes near the slits. This is repeat ...
file
... gate operations into several single-qubit and some interaction (two-qubit) operations in series as the CNOT gate in the globally controlled electron spin scheme. So the single-qubit operations and two-qubit (interaction) operations do not act on the same qubits at the same time. • The GRAPE optimal ...
... gate operations into several single-qubit and some interaction (two-qubit) operations in series as the CNOT gate in the globally controlled electron spin scheme. So the single-qubit operations and two-qubit (interaction) operations do not act on the same qubits at the same time. • The GRAPE optimal ...
Document
... Measure of Entanglement:1. For pure bipartite state entanglement is measured by the Von Neumann entropy of any of it’s subsystems. This is the unique measure for all pure bipartite states. 2. For mixed bipartite entangled states, there is no unique way to define entanglement of a state. Two useful m ...
... Measure of Entanglement:1. For pure bipartite state entanglement is measured by the Von Neumann entropy of any of it’s subsystems. This is the unique measure for all pure bipartite states. 2. For mixed bipartite entangled states, there is no unique way to define entanglement of a state. Two useful m ...
Surrey seminar on CQP - School of Computing Science
... Typechecking for No Cloning Suppose that Alice continues with some behaviour, after sending the qubit to Bob. Alice(x:Qbit, q:^[Qbit], n:0..3) = {x *= n} . q![x] . Continue The type system of CQP guarantees that Continue does not refer to x. Technically: the fact that x is sent along q means that ...
... Typechecking for No Cloning Suppose that Alice continues with some behaviour, after sending the qubit to Bob. Alice(x:Qbit, q:^[Qbit], n:0..3) = {x *= n} . q![x] . Continue The type system of CQP guarantees that Continue does not refer to x. Technically: the fact that x is sent along q means that ...
Quantum (wave) mechanics
... uncertainty principle is of no consequence, but that is not the case for atomic sized systems. According to the uncertainty principle, we can never obtain precise knowledge of a physical system, regardless of improvements in experimental techniques. We can only obtain probable values, and this is a ...
... uncertainty principle is of no consequence, but that is not the case for atomic sized systems. According to the uncertainty principle, we can never obtain precise knowledge of a physical system, regardless of improvements in experimental techniques. We can only obtain probable values, and this is a ...
Interpretation of quantum mechanics - Institut für Physik
... anymore. There are two processes which the Schrödinger equation for the isolated system does not explain, which leads to the failure of describing the measurement. 1. The process of the transition from a state including superpositions of eigenstates to a state consisting of only definite eigenstates ...
... anymore. There are two processes which the Schrödinger equation for the isolated system does not explain, which leads to the failure of describing the measurement. 1. The process of the transition from a state including superpositions of eigenstates to a state consisting of only definite eigenstates ...
CALCULATING A MAXIMIZER FOR QUANTUM MUTUAL
... Holevo 1 has introduced a measure of the amount of classical information remaining in a state that has been sent over a noisy quantum channel. The capacity of a channel is given by the maximization of this Holevo quantity over an ensemble of input states, and can be interpreted as the amount of info ...
... Holevo 1 has introduced a measure of the amount of classical information remaining in a state that has been sent over a noisy quantum channel. The capacity of a channel is given by the maximization of this Holevo quantity over an ensemble of input states, and can be interpreted as the amount of info ...
Quantum Analysis on Time Behavior of a Lengthening Pendulum
... actual systems. A gravitational pendulum which has been used as a seismic sensor of translation and rotation is one of its well-known applications [24]. Usually seismologists use a kind of sensing device (pendulum) in order to detect earthquake waves, which is more complicated than the simple pendul ...
... actual systems. A gravitational pendulum which has been used as a seismic sensor of translation and rotation is one of its well-known applications [24]. Usually seismologists use a kind of sensing device (pendulum) in order to detect earthquake waves, which is more complicated than the simple pendul ...
2 - arXiv
... The first goal builds on a typical Lyapunov-LaSalle strategy, with additional care needed due to the infinite dimension. For the second goal, we resort to a separation of the quantum dynamics into fast and slow components. We then apply an adiabatic elimination of the fast system to deduce a good ap ...
... The first goal builds on a typical Lyapunov-LaSalle strategy, with additional care needed due to the infinite dimension. For the second goal, we resort to a separation of the quantum dynamics into fast and slow components. We then apply an adiabatic elimination of the fast system to deduce a good ap ...