A Complete Characterization of Unitary Quantum Space
... • Recall: PreciseQMA=Uc>0QMA(c,c-2-poly(n)) • Both upper and lower bounds follow from our completeness result, together with BQPSPACE=PSPACE [Watrous’03] • Corollary: “precise k-Local Hamiltonian problem” is PSPACE-complete • Extension: “Perfect Completeness case”: QMA(1,1-2-poly(n))=PSPACE • Corol ...
... • Recall: PreciseQMA=Uc>0QMA(c,c-2-poly(n)) • Both upper and lower bounds follow from our completeness result, together with BQPSPACE=PSPACE [Watrous’03] • Corollary: “precise k-Local Hamiltonian problem” is PSPACE-complete • Extension: “Perfect Completeness case”: QMA(1,1-2-poly(n))=PSPACE • Corol ...
Entanglement in bipartite and tripartite quantum systems
... one location are independent of any actions performed at space-like separation (“locality”) and (iii) the setting of local apparatus are independent of the hidden variables which determine the local results (“free will”). He then proved that these assumptions impose constraints, in the form of inequ ...
... one location are independent of any actions performed at space-like separation (“locality”) and (iii) the setting of local apparatus are independent of the hidden variables which determine the local results (“free will”). He then proved that these assumptions impose constraints, in the form of inequ ...
Dynamical Phase Transitions in Quantum Systems
... In medium-mass nuclei, the first (elastic) decay threshold is at a comparably low excitation energy of the nucleus where the level density is still relatively low. These nuclei are characterized by overlapping resonance states with different lifetimes. An example are the isobaric analogue resonances ...
... In medium-mass nuclei, the first (elastic) decay threshold is at a comparably low excitation energy of the nucleus where the level density is still relatively low. These nuclei are characterized by overlapping resonance states with different lifetimes. An example are the isobaric analogue resonances ...
``Two-Photon`` Coincidence Imaging with a Classical Source
... image collected by the reference detector when it is gated by the test (bucket) detector. According to classical probability theory, p r xr pr xr provided that the integration over xt (bucket detection) covers all possible outcomes. Thus, on first inspection it would seem that a difference ...
... image collected by the reference detector when it is gated by the test (bucket) detector. According to classical probability theory, p r xr pr xr provided that the integration over xt (bucket detection) covers all possible outcomes. Thus, on first inspection it would seem that a difference ...
Conductance-peak height correlations for a Coulomb
... wave function scarring,7 which causes a slow modulation of the variance 具 兩 (rជ ) 兩 2 典 as a function of the level index and the position rជ , although the RMT prediction for peakheight statistics remains valid for peaks at nearby energies.8 The scarring effect disappears in the limit of large ...
... wave function scarring,7 which causes a slow modulation of the variance 具 兩 (rជ ) 兩 2 典 as a function of the level index and the position rជ , although the RMT prediction for peakheight statistics remains valid for peaks at nearby energies.8 The scarring effect disappears in the limit of large ...
Partition function (statistical mechanics)
... It may not be obvious why the partition function, as we have defined it above, is an important quantity. First, let us consider what goes into it. The partition function is a function of the temperature T and the microstate energies E1, E2, E3, etc. The microstate energies are determined by other th ...
... It may not be obvious why the partition function, as we have defined it above, is an important quantity. First, let us consider what goes into it. The partition function is a function of the temperature T and the microstate energies E1, E2, E3, etc. The microstate energies are determined by other th ...
Step-by-step setup of Kets, Operators, Commutators and Algebra for
... Step-by-step implementation of the harmonic oscillator In order to enter a ket similar to those that appear in the book of Cohen-Tannoudji, Chapter V, press the keyboard keys (this will only work in a Mathematica document where SetQuantumAliases[] has been executed): [ESC]ket[ESC] The ket template w ...
... Step-by-step implementation of the harmonic oscillator In order to enter a ket similar to those that appear in the book of Cohen-Tannoudji, Chapter V, press the keyboard keys (this will only work in a Mathematica document where SetQuantumAliases[] has been executed): [ESC]ket[ESC] The ket template w ...
Powerpoint - Generative Science
... If we examine the natural structures found by quantum physics, we find that energy operators, quantum-mechanical propensities and outcome-events form a triple set of material ‘discrete degrees’. This is in the sense that they simultaneously exist in their own way, without being reduced to another. F ...
... If we examine the natural structures found by quantum physics, we find that energy operators, quantum-mechanical propensities and outcome-events form a triple set of material ‘discrete degrees’. This is in the sense that they simultaneously exist in their own way, without being reduced to another. F ...
Quantum Multi-object Search Algorithm with the
... research papers on this subject. Grover’s original work [9, 10, 11] dealt with a single-object search in a large unsorted database. He shows that his quantum algorithm has a quadratic speedup. Farhi and Gutmann [8] presents a continuous time, or “analog analogue” version, of Grover’s algorithm and o ...
... research papers on this subject. Grover’s original work [9, 10, 11] dealt with a single-object search in a large unsorted database. He shows that his quantum algorithm has a quadratic speedup. Farhi and Gutmann [8] presents a continuous time, or “analog analogue” version, of Grover’s algorithm and o ...
Quantum dots coordinated with conjugated organic ligands: new
... solvents only. Ligand exchange, in which the TOPO ligands are replaced with the ligand of choice can, for example, give quantum dots solubility in water or make them amenable to chemical reactions. Quantum dots can be also be encapsulated by a shell of material such as a polymer, micelle, or bead th ...
... solvents only. Ligand exchange, in which the TOPO ligands are replaced with the ligand of choice can, for example, give quantum dots solubility in water or make them amenable to chemical reactions. Quantum dots can be also be encapsulated by a shell of material such as a polymer, micelle, or bead th ...
01 introduction to quantum physics
... Quantum mechanics has a profound influence on the philosophy of nature. Indeed, it has altered our view of objective reality and classical determinism. In quantum theory, what you know is what you measure (or what some physical system “records”). The acts of measurement and observation can create th ...
... Quantum mechanics has a profound influence on the philosophy of nature. Indeed, it has altered our view of objective reality and classical determinism. In quantum theory, what you know is what you measure (or what some physical system “records”). The acts of measurement and observation can create th ...
How Stands Collapse II
... In November 1980, Abner kindly invited me to stay at his home in Wellesley. We discussed various aspects of my dynamical collapse program. In the course of the discussion, Abner expressed the point of view that, in a collapse situation involving macroscopically distinguishable alternatives, one cann ...
... In November 1980, Abner kindly invited me to stay at his home in Wellesley. We discussed various aspects of my dynamical collapse program. In the course of the discussion, Abner expressed the point of view that, in a collapse situation involving macroscopically distinguishable alternatives, one cann ...
Lecture 18 — October 26, 2015 1 Overview 2 Quantum Entropy
... amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduce is the von Neumann entropy. It is the quantum generalization of the Shannon entropy, but it captures both classical and quantum uncertainty in a quantum state. The von Neumann ...
... amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduce is the von Neumann entropy. It is the quantum generalization of the Shannon entropy, but it captures both classical and quantum uncertainty in a quantum state. The von Neumann ...