Completeness and the zx-calculus
... for the single-qubit Clifford+T group, which is approximately universal: any single-qubit unitary can be approximated to arbitrary accuracy using only Clifford gates and the T-gate. In experimental realisations of quantum computers, operations have to be approximated using some such finite gate set. ...
... for the single-qubit Clifford+T group, which is approximately universal: any single-qubit unitary can be approximated to arbitrary accuracy using only Clifford gates and the T-gate. In experimental realisations of quantum computers, operations have to be approximated using some such finite gate set. ...
Path Integrals — Elementary Properties and Simple Solutions
... (angular barrier near the poles of a sphere). In all these cases, the commutators in the expansion (2.10) of X̂ become more and more singular. In fact, as we shall see, the expansion does not even converge, even for an infinitesimally small ǫ. All atomic systems contain such potentials and the Feynm ...
... (angular barrier near the poles of a sphere). In all these cases, the commutators in the expansion (2.10) of X̂ become more and more singular. In fact, as we shall see, the expansion does not even converge, even for an infinitesimally small ǫ. All atomic systems contain such potentials and the Feynm ...
Detectability, Invasiveness and the Quantum Three Box Paradox
... box Bob looks in (an umpire is present to ensure Bob does not cheat). Alice then shuffles the boxes around again under cover of her blanket, and looks in the box in position 3. She wins if, whenever she sees a ball in box 3, Bob also saw the ball in the box he opened. She offers Bob better than fift ...
... box Bob looks in (an umpire is present to ensure Bob does not cheat). Alice then shuffles the boxes around again under cover of her blanket, and looks in the box in position 3. She wins if, whenever she sees a ball in box 3, Bob also saw the ball in the box he opened. She offers Bob better than fift ...
Introduction to Representations of the Canonical Commutation and
... Clearly, the relations (5) are preserved by orthogonal transformations applied to (φ1 , . . . , φn ). The orthogonal invariance of the CAR is implemented by a projective unitary representation. It can be also expressed in terms of a representation of the double covering of the orthogonal group, call ...
... Clearly, the relations (5) are preserved by orthogonal transformations applied to (φ1 , . . . , φn ). The orthogonal invariance of the CAR is implemented by a projective unitary representation. It can be also expressed in terms of a representation of the double covering of the orthogonal group, call ...
The UNBELIEVABLE similarities between Sean Carroll`s idea (2016
... Obviously, Carroll believes that the “Core Theory” of quantum mechanics is the “correct description of nature in its domain of applicability! My question is: “Does the Core Theory describe certain phenomena that really exist or does Carroll talk only about a “description”? A correct “description” of ...
... Obviously, Carroll believes that the “Core Theory” of quantum mechanics is the “correct description of nature in its domain of applicability! My question is: “Does the Core Theory describe certain phenomena that really exist or does Carroll talk only about a “description”? A correct “description” of ...
107, 195303 (2011)
... equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known that the superfluid can be destroyed by the Zeeman field beyond a critical value for a given s-wave interaction strength [15]. We show that a finite SOC strength can re ...
... equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known that the superfluid can be destroyed by the Zeeman field beyond a critical value for a given s-wave interaction strength [15]. We show that a finite SOC strength can re ...
Collapse of Probability Distributions in Relativistic Spacetime
... larger than the characteristic time interval for completion of the measurement process. Such modifications need to be considered even in interpretations—for instance, the Everett many-worlds interpretation or the Griffiths consistent-histories interpretation—that avoid explicit mention of a collapse ...
... larger than the characteristic time interval for completion of the measurement process. Such modifications need to be considered even in interpretations—for instance, the Everett many-worlds interpretation or the Griffiths consistent-histories interpretation—that avoid explicit mention of a collapse ...
Electron-hole correlations in semiconductor quantum dots with tight-binding wave functions
... require a selection of specific atomic orbitals that cannot be explicitly related to the tight-binding parameters. Hence, a key question that we address in this work is how sensitive the calculated electron-hole properties are to specific choices of orbitals used to calculate the Coulomb matrix elem ...
... require a selection of specific atomic orbitals that cannot be explicitly related to the tight-binding parameters. Hence, a key question that we address in this work is how sensitive the calculated electron-hole properties are to specific choices of orbitals used to calculate the Coulomb matrix elem ...
DownLoad - Vedamu.org
... Henceforth, a breach of duty amounts to the certain and definite failure to realize expectations. The loss affects a whole class, as a party at grief, and others so linked, in the expectations of benefit owed. The Bhagavad Gita, being aware of all classes of people, differently disposed with the var ...
... Henceforth, a breach of duty amounts to the certain and definite failure to realize expectations. The loss affects a whole class, as a party at grief, and others so linked, in the expectations of benefit owed. The Bhagavad Gita, being aware of all classes of people, differently disposed with the var ...
Quantum Computing, Quantum Games and Geometric Algebra
... In this thesis, we firstly investigate the phase estimation procedure, due to its importance as the basis for Shor’s factorization algorithm, for which a new error formula is found using an improved symmetrical definition of the error. Unlike other existing error formulas which require approximation ...
... In this thesis, we firstly investigate the phase estimation procedure, due to its importance as the basis for Shor’s factorization algorithm, for which a new error formula is found using an improved symmetrical definition of the error. Unlike other existing error formulas which require approximation ...
Coherent State Wave Functions on the Torus
... to the strength of the magnetic eld. If the applied magnetic eld is strong enough, together with low temperatures, and clean samples, the Quantum Hall Eect is observed. The Fractional Quantum Hall Eect (FQHE) is observed in high quality semiconductor junctions, but also in graphene. In semicondu ...
... to the strength of the magnetic eld. If the applied magnetic eld is strong enough, together with low temperatures, and clean samples, the Quantum Hall Eect is observed. The Fractional Quantum Hall Eect (FQHE) is observed in high quality semiconductor junctions, but also in graphene. In semicondu ...
