Quantum Algorithms - UCSB Computer Science
... • Adiabatic quantum computation is a heuristic quantum approach to combinatorial optimizations problems. • Just like the classical simulated annealing approach, it tries to find an optimum by ‘quantum walking’ through the large space of possible answers in a smart way. • The problem of getting stuck ...
... • Adiabatic quantum computation is a heuristic quantum approach to combinatorial optimizations problems. • Just like the classical simulated annealing approach, it tries to find an optimum by ‘quantum walking’ through the large space of possible answers in a smart way. • The problem of getting stuck ...
A Modular Method for the Efficient Calculation of Ballistic Transport
... cases of systems with either purely chaotic or purely regular classical dynamics [12]. However, neither of these cases is generic. For the semiconductor quantum dots that are realized in the experiment [4] a classical phase space structure with mixed regions of chaotic and regular motion is expected ...
... cases of systems with either purely chaotic or purely regular classical dynamics [12]. However, neither of these cases is generic. For the semiconductor quantum dots that are realized in the experiment [4] a classical phase space structure with mixed regions of chaotic and regular motion is expected ...
ResearchFocus issue 1 - Centre for Theoretical Physics at BUE
... What is known about dark energy is that it can be described as a cosmological constant: a constant cosmic force that accelerates the expansion of the universe. Unfortunately, this model does not provide any physical picture for dark energy. To describe dark energy in the realm of general relativity, ...
... What is known about dark energy is that it can be described as a cosmological constant: a constant cosmic force that accelerates the expansion of the universe. Unfortunately, this model does not provide any physical picture for dark energy. To describe dark energy in the realm of general relativity, ...
... single-photon linear polarization. This is referred to as the single-photon Faraday Effect 9. As a result, if the spin of the excess electron is initialized to , then the single-photon polarization rotates in a right-hand circular motion since the right circular polarization component accumulate ...
Theory of the topological Anderson insulator
... We start from the low-energy effective Hamiltonian of a HgTe quantum well, which has the form [5] H = α(px σx −py σy )+(m+βp2 )σz +[γp2 +U (r)]σ0 . (1) This is a two-dimensional Dirac Hamiltonian (with momentum operator p = −ih̄∇, Pauli matrices σx , σy , σz , and a 2 × 2 unit matrix σ0 ), acting on ...
... We start from the low-energy effective Hamiltonian of a HgTe quantum well, which has the form [5] H = α(px σx −py σy )+(m+βp2 )σz +[γp2 +U (r)]σ0 . (1) This is a two-dimensional Dirac Hamiltonian (with momentum operator p = −ih̄∇, Pauli matrices σx , σy , σz , and a 2 × 2 unit matrix σ0 ), acting on ...
Qubit Quantum Mechanics with Correlated-photon Experiments,
... = ␦ / 2.27 Thus, an interferometer can be used for unitary operations on direction-of-propagation qubits. Quantum mechanics provides one of its mysteries when it allows the state 共1 / 冑2兲共兩X典 + 兩Y典兲, which signifies that the quantum of light, the photon, to travel in both directions at once. This ...
... = ␦ / 2.27 Thus, an interferometer can be used for unitary operations on direction-of-propagation qubits. Quantum mechanics provides one of its mysteries when it allows the state 共1 / 冑2兲共兩X典 + 兩Y典兲, which signifies that the quantum of light, the photon, to travel in both directions at once. This ...
The flashes of insight never came for free
... were revolutionised. In the former, functional analysis emerged (cf. [1, 6]), whilst in the latter quantum mechanics was discovered [12]. The key idea behind functional analysis is to look at functions as points in some infinite-dimensional (topological) vector space, rather than individually, as in ...
... were revolutionised. In the former, functional analysis emerged (cf. [1, 6]), whilst in the latter quantum mechanics was discovered [12]. The key idea behind functional analysis is to look at functions as points in some infinite-dimensional (topological) vector space, rather than individually, as in ...
Operator Theory and Dirac Notation
... can “point” in different directions as position and time vary. If we fix the time to one value or have a time-independent system, then the basis vectors are the position values x in one dimension. Dynamic variables (physical quantities of the motion like position, momentum, energy) have correspondin ...
... can “point” in different directions as position and time vary. If we fix the time to one value or have a time-independent system, then the basis vectors are the position values x in one dimension. Dynamic variables (physical quantities of the motion like position, momentum, energy) have correspondin ...
Topological Phases of Matter classification and application
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
... If a physical system were to have quantum topological (necessarily nonlocal) degrees of freedom, which were insensitive to local probes, then information contained in them would be automatically protected against errors caused by local interactions with the ...
Quantum Optics - Assets - Cambridge University Press
... many emerging applications. We therefore emphasize fundamental concepts and illustrate many of the ideas with typical applications. We make every possible attempt to indicate the experimental work if an idea has already been tested. Other applications are left as exercises which contain enough guida ...
... many emerging applications. We therefore emphasize fundamental concepts and illustrate many of the ideas with typical applications. We make every possible attempt to indicate the experimental work if an idea has already been tested. Other applications are left as exercises which contain enough guida ...
