What quantum computers may tell us about quantum mechanics
... identical to the same state in the usual coupled basis |J = 0, mJ = 0. Many therefore dismiss the whole notion of entanglement as simply a choice of basis. However, entanglement should not only reflect a nonseparable quantum state, but one in which independent quantum measurements on the individual ...
... identical to the same state in the usual coupled basis |J = 0, mJ = 0. Many therefore dismiss the whole notion of entanglement as simply a choice of basis. However, entanglement should not only reflect a nonseparable quantum state, but one in which independent quantum measurements on the individual ...
Quantum-enhanced measurements: beating the standard quantum
... the precision of N measurements on unentangled qubits, which has been achieved by employing an entangled input and performing a collective non-local measurement on the output, i.e. the measurement of the probability q(ϕ). A generalization of the parameter estimation presented here is the estimation ...
... the precision of N measurements on unentangled qubits, which has been achieved by employing an entangled input and performing a collective non-local measurement on the output, i.e. the measurement of the probability q(ϕ). A generalization of the parameter estimation presented here is the estimation ...
Beating the Standard Quantum Limit
... the precision of N measurements on unentangled qubits, which has been achieved by employing an entangled input and performing a collective non-local measurement on the output, i.e. the measurement of the probability q(ϕ). A generalization of the parameter estimation presented here is the estimation ...
... the precision of N measurements on unentangled qubits, which has been achieved by employing an entangled input and performing a collective non-local measurement on the output, i.e. the measurement of the probability q(ϕ). A generalization of the parameter estimation presented here is the estimation ...
Quantum Information Technology based on Single Electron Dynamics
... between two quantum dots combined with an RFSET. When each of the dots possesses one electron spin before the measurement, tunneling from one dot to the other is allowed, if the two electron spins can make a spin pair (spin singlet state). This spin-dependent tunneling could be measured with an RF-S ...
... between two quantum dots combined with an RFSET. When each of the dots possesses one electron spin before the measurement, tunneling from one dot to the other is allowed, if the two electron spins can make a spin pair (spin singlet state). This spin-dependent tunneling could be measured with an RF-S ...
Quantum fluctuations and thermodynamic processes in the presence of closed... by Tsunefumi Tanaka
... A closed timelike curve (CTC) is a closed loop in spacetime whose tangent vector is everywhere timelike. A spacetime which contains CTC’s will allow time travel. One of these spacetimes is Grant space. It can be constructed from Minkowski space by im posing periodic boundary conditions in spatial d ...
... A closed timelike curve (CTC) is a closed loop in spacetime whose tangent vector is everywhere timelike. A spacetime which contains CTC’s will allow time travel. One of these spacetimes is Grant space. It can be constructed from Minkowski space by im posing periodic boundary conditions in spatial d ...
Overview of Hamiltonian Systems
... has at least three distinct meanings in mathematics, so this definition is a bit ambiguous. Therefore, the following is another definition of integrability: a system is integrable if the number M of independent commuting integrals satisfy the condition (N is the degrees of freedom), but the family o ...
... has at least three distinct meanings in mathematics, so this definition is a bit ambiguous. Therefore, the following is another definition of integrability: a system is integrable if the number M of independent commuting integrals satisfy the condition (N is the degrees of freedom), but the family o ...
Vladimirov A.A., Diakonov D. Diffeomorphism
... lattice vertices, where the ˇeld derivatives are replaced by the ˇnite differences of the ˇelds between neighboring lattice points. In this way, the construction of the diffeomorphism-invariant lattice action is hardly possible. We propose to replace the action over a manifold by a sum over the latt ...
... lattice vertices, where the ˇeld derivatives are replaced by the ˇnite differences of the ˇelds between neighboring lattice points. In this way, the construction of the diffeomorphism-invariant lattice action is hardly possible. We propose to replace the action over a manifold by a sum over the latt ...
Three Myths about Time Reversal in Quantum Theory
... Both Callender and Albert argue that there is something unnatural about supposing time reversal does more than reverse the order of states in a trajectory. The standard expression of time reversal maps a trajectory w(t) to Tw(2t), reversing the order of a trajectory t ↦ 2t but also transforming inst ...
... Both Callender and Albert argue that there is something unnatural about supposing time reversal does more than reverse the order of states in a trajectory. The standard expression of time reversal maps a trajectory w(t) to Tw(2t), reversing the order of a trajectory t ↦ 2t but also transforming inst ...
Conformal geometry of the supercotangent and spinor
... with its two modules of symbols and the identi cation of its graded Poisson algebra, and nally the classi cation of their conformal invariants in the conformally at case. Let us detail the content of the present work. We take advantage of Section 2 to introduce the needed elements of spin geometry ...
... with its two modules of symbols and the identi cation of its graded Poisson algebra, and nally the classi cation of their conformal invariants in the conformally at case. Let us detail the content of the present work. We take advantage of Section 2 to introduce the needed elements of spin geometry ...
Quantum Dynamical Systems
... ergodic theory of quantum systems. The basic concepts of the algebraic theory of quantum dynamics – C ∗ - and W ∗ -dynamical systems and their invariant states – are introduced in Subsections 4.1–4.3. In Subsection 4.4, I define a more general notion of quantum dynamical system. The GNS construction ...
... ergodic theory of quantum systems. The basic concepts of the algebraic theory of quantum dynamics – C ∗ - and W ∗ -dynamical systems and their invariant states – are introduced in Subsections 4.1–4.3. In Subsection 4.4, I define a more general notion of quantum dynamical system. The GNS construction ...
Quantum Cohomology via Vicious and Osculating Walkers
... Postnikov’s toric Schur polynomials are the partition functions of the specialised vicious and osculating walker models. The sum rule (1.9), relating Gromov–Witten invariants to the counting of vicious and osculating walker configurations on the cylinder, is then an immediate consequence. We will co ...
... Postnikov’s toric Schur polynomials are the partition functions of the specialised vicious and osculating walker models. The sum rule (1.9), relating Gromov–Witten invariants to the counting of vicious and osculating walker configurations on the cylinder, is then an immediate consequence. We will co ...
Quantum_Computing
... The other type of algorithm is the true quantum algorithm. This type of algorithm does not simulate the actions of a classical computer. In fact, a CTM would be potentially unable to simulate what occurs during the execution of a quantum algorithm. These algorithms are difficult to work out, and ar ...
... The other type of algorithm is the true quantum algorithm. This type of algorithm does not simulate the actions of a classical computer. In fact, a CTM would be potentially unable to simulate what occurs during the execution of a quantum algorithm. These algorithms are difficult to work out, and ar ...
Genetic Programming for Quantum Computers - Faculty
... One can also look at CNOT as a gate with one input qubit (controller) and one output qubit (controlled). CNOT flips the state with respect to its output wherever its input is 1. By making the condition on this flipping more complex, possibly using more input qubits, we can construct analogous unita ...
... One can also look at CNOT as a gate with one input qubit (controller) and one output qubit (controlled). CNOT flips the state with respect to its output wherever its input is 1. By making the condition on this flipping more complex, possibly using more input qubits, we can construct analogous unita ...
Edge diffraction in Monte Carlo ray tracing
... Solutions are available in closed form for only a few simple aperture shapes and incident fields. In addition, the incident field must be known a priori in order to carry out the calculation. This is a serious disadvantage in a Monte Carlo simulation, in which the incident light distribution is in g ...
... Solutions are available in closed form for only a few simple aperture shapes and incident fields. In addition, the incident field must be known a priori in order to carry out the calculation. This is a serious disadvantage in a Monte Carlo simulation, in which the incident light distribution is in g ...
The Status of our Ordinary Three Dimensions in a Quantum Universe 1
... correspond in any direct way with the three dimensions of our manifest image. It is for this reason challenging to see our world as a quantum world. We are missing the account we desire in order to comfortably view the physical space of our world as higher-than-three-dimensional. We have a well-just ...
... correspond in any direct way with the three dimensions of our manifest image. It is for this reason challenging to see our world as a quantum world. We are missing the account we desire in order to comfortably view the physical space of our world as higher-than-three-dimensional. We have a well-just ...
What is matter? The fundamental ontology of atomism and structural
... the temporal development of these relations can be represented as being embedded. For instance, it may be the case that the spatial relations in a given initial configuration of matter points can be described in terms of Euclidean lengths and angles, but that the relations then develop in such a way ...
... the temporal development of these relations can be represented as being embedded. For instance, it may be the case that the spatial relations in a given initial configuration of matter points can be described in terms of Euclidean lengths and angles, but that the relations then develop in such a way ...
Principles of Quantum Universe
... nonlinear realization of affine and conformal symmetries. In Chapter 5 the generally accepted Dirac – Bargmann’s Hamiltonian formulation is presented; it is adapted to the gravitation theory, deduced in Chapter 4. In Chapter 6 a quantum cosmological model is studied which appeared in the empty Univers ...
... nonlinear realization of affine and conformal symmetries. In Chapter 5 the generally accepted Dirac – Bargmann’s Hamiltonian formulation is presented; it is adapted to the gravitation theory, deduced in Chapter 4. In Chapter 6 a quantum cosmological model is studied which appeared in the empty Univers ...