Quantum Proofs for Classical Theorems
... This tensor product of states |φ i and |ψi is also often denoted simply as |φ i|ψi. Note that this new state is a unit vector, as it should be. Not every pure state in Cmn can be expressed as a tensor product in this way; √ those that cannot are called entangled. The best-known entangled state is th ...
... This tensor product of states |φ i and |ψi is also often denoted simply as |φ i|ψi. Note that this new state is a unit vector, as it should be. Not every pure state in Cmn can be expressed as a tensor product in this way; √ those that cannot are called entangled. The best-known entangled state is th ...
Stability of Complex Biomolecular Structures: van der Waals
... focus on the structure with two antiparallel polyQ strands and calculate as well the VDOS given by the Fourier transform of the velocity autocorrelation function from an ab initio MD (AIMD) run (i.e., with classical nuclei) and from the newly proposed thermostated ring polymer molecular dynamics (TR ...
... focus on the structure with two antiparallel polyQ strands and calculate as well the VDOS given by the Fourier transform of the velocity autocorrelation function from an ab initio MD (AIMD) run (i.e., with classical nuclei) and from the newly proposed thermostated ring polymer molecular dynamics (TR ...
Continuous Quantum Phase Transitions
... constructing field and string theories of elementary particles, the transition to chaos in dynamical systems, and the long time behavior of systems out of equilibrium. Our purpose in this Colloquium is to give a brief and qualitative account of some basic features of a species of phase transitions,2 ...
... constructing field and string theories of elementary particles, the transition to chaos in dynamical systems, and the long time behavior of systems out of equilibrium. Our purpose in this Colloquium is to give a brief and qualitative account of some basic features of a species of phase transitions,2 ...
Adiabatic=Quantum.Ah.. - Duke Computer Science
... New vantage point to tackle the challenges of quantum computation: 1. Designing new algorithms: change of langauge, new tools. 2. Adiabatic Computation is resilient to certain types of errors [ChildsFarhiPreskill’01] Possible applications for ...
... New vantage point to tackle the challenges of quantum computation: 1. Designing new algorithms: change of langauge, new tools. 2. Adiabatic Computation is resilient to certain types of errors [ChildsFarhiPreskill’01] Possible applications for ...
Algebraic approach to interacting quantum systems
... one-dimensional t-Jz [6] model belongs to this class of problems. It is important to remark that this quasi-exact solution leads to the exact determination of the quantum phase diagram and the charge excitations of the t-Jz model. A new notion beyond Landau’s concept of broken symmetry [7, 8] is the ...
... one-dimensional t-Jz [6] model belongs to this class of problems. It is important to remark that this quasi-exact solution leads to the exact determination of the quantum phase diagram and the charge excitations of the t-Jz model. A new notion beyond Landau’s concept of broken symmetry [7, 8] is the ...
Paper
... fields is inconsistent with the dynamics of a twocomponent condensate. Our measurements thus serve as a probe of the spin domain boundary and reveal the presence of the third F 苷 1 spin component (mF 苷 21). Atoms in the jmF 苷 21典 state can be produced by spin relaxation, wherein two mF 苷 0 atoms col ...
... fields is inconsistent with the dynamics of a twocomponent condensate. Our measurements thus serve as a probe of the spin domain boundary and reveal the presence of the third F 苷 1 spin component (mF 苷 21). Atoms in the jmF 苷 21典 state can be produced by spin relaxation, wherein two mF 苷 0 atoms col ...
Linear Optical Quantum Computing in a Single Spatial Mode
... depend on the specific time-bin structure that is used, as the bandwidth of different photon sources, and, thus, the timebin duration, can differ by several orders of magnitude [35]. Here, we will consider time bins with sub-ps duration; these are suitable for heralded single photons from spontaneou ...
... depend on the specific time-bin structure that is used, as the bandwidth of different photon sources, and, thus, the timebin duration, can differ by several orders of magnitude [35]. Here, we will consider time bins with sub-ps duration; these are suitable for heralded single photons from spontaneou ...
Photons and Polarization
... Let’s imagine that we have a beam of light polarized in the vertical direction, which could be produced by passing an unpolarized beam of light through a vertically oriented polarizer. If we now place a second vertically oriented polarizer in the path of the beam, we know that all the light should p ...
... Let’s imagine that we have a beam of light polarized in the vertical direction, which could be produced by passing an unpolarized beam of light through a vertically oriented polarizer. If we now place a second vertically oriented polarizer in the path of the beam, we know that all the light should p ...
Microwave study of quantum n
... In spite of extensive theoretical analysis, there have been few direct experimental implementations of such chaotic model geometries so far. In this paper we present the results of a systematic experimental study of the quantum resonances and decay characteristic of two-dimensional 共2D兲 scattering r ...
... In spite of extensive theoretical analysis, there have been few direct experimental implementations of such chaotic model geometries so far. In this paper we present the results of a systematic experimental study of the quantum resonances and decay characteristic of two-dimensional 共2D兲 scattering r ...
Spin-Mediated Consciousness: Theory, Experimental Studies
... On the theoretical front, there are quite a few quantum theories of mind (1,3-5,7,8). Among these, Penrose’s Objective Reduction (“OR”) together with Hameroff’s microtubule computation is perhaps the most popular, and the combination of the two produced the Orchestrated Objective Reduction (“Orch OR ...
... On the theoretical front, there are quite a few quantum theories of mind (1,3-5,7,8). Among these, Penrose’s Objective Reduction (“OR”) together with Hameroff’s microtubule computation is perhaps the most popular, and the combination of the two produced the Orchestrated Objective Reduction (“Orch OR ...
Edge states and integer quantum Hall effect in topological insulator
... (called hole-like), as shown in Fig. 2e. The position y 0 = 2B k x is the guiding center of the wave packages of surface LLs and is proportional to the wave vector kx, where the magnetic length B = / e μ 0H . The slope of the energy dispersion near the edge ∂E /∂y 0 = (1 / 2B ) (∂E /∂k x ) i ...
... (called hole-like), as shown in Fig. 2e. The position y 0 = 2B k x is the guiding center of the wave packages of surface LLs and is proportional to the wave vector kx, where the magnetic length B = / e μ 0H . The slope of the energy dispersion near the edge ∂E /∂y 0 = (1 / 2B ) (∂E /∂k x ) i ...
Quantum computation of scattering in scalar quantum field theories
... large amount of effort devoted to finding additional quantum algorithms offering exponential speedup. This turns out to be very difficult. At present, only relatively few problems have been discovered admitting exponential quantum speedup [7], including simulating nonrelativistic many-body quantum s ...
... large amount of effort devoted to finding additional quantum algorithms offering exponential speedup. This turns out to be very difficult. At present, only relatively few problems have been discovered admitting exponential quantum speedup [7], including simulating nonrelativistic many-body quantum s ...
A Quantum Query Expansion Approach for Session Search
... van Rijsbergen (2004) proposed employing quantum theory (QT) formalism for modeling IR tasks [1] by showing that major IR models (logical, probabilistic and vector) can be subsumed by the single mathematical formalism in Hilbert vector spaces. Specifically, QT provides a geometrical vector represent ...
... van Rijsbergen (2004) proposed employing quantum theory (QT) formalism for modeling IR tasks [1] by showing that major IR models (logical, probabilistic and vector) can be subsumed by the single mathematical formalism in Hilbert vector spaces. Specifically, QT provides a geometrical vector represent ...
Quantum Dot Computing Gates
... By molecular beam epitaxy and metal organic chemical vapor deposition techniques, an ultrathin single crystalline layer can be deposited on a bulk substrate. The development of these advanced epitaxy techniques makes it possible to fabricate quantum wells with a very fine boundary. There are two typ ...
... By molecular beam epitaxy and metal organic chemical vapor deposition techniques, an ultrathin single crystalline layer can be deposited on a bulk substrate. The development of these advanced epitaxy techniques makes it possible to fabricate quantum wells with a very fine boundary. There are two typ ...
Introduction to quantum computation
... could only cultivate particular vegetable patches in particular seasons of the year, that different seeds had different costs but could also lead to different profits, and many other parameters that should be taken into consideration. Intuitively, we understand that the first problem would take less ...
... could only cultivate particular vegetable patches in particular seasons of the year, that different seeds had different costs but could also lead to different profits, and many other parameters that should be taken into consideration. Intuitively, we understand that the first problem would take less ...
ppt
... The energy was fluctuating, but the total number of particles was fixed. The role of the thermal reservoir was to fix the mean energy of each particle (i.e., each system). The identical systems in contact with the reservoir constitute the canonical ensemble. This approach works well for the high-tem ...
... The energy was fluctuating, but the total number of particles was fixed. The role of the thermal reservoir was to fix the mean energy of each particle (i.e., each system). The identical systems in contact with the reservoir constitute the canonical ensemble. This approach works well for the high-tem ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: