Bounding the quantum dimension with contextuality Linköping University Post Print
... measurement a sequence. This difference to the standard version does not matter at this point (since the observables in any row or column commute), but it will become important below. The PM inequality is of special interest for our program since it is violated up to the algebraic maximum with four- ...
... measurement a sequence. This difference to the standard version does not matter at this point (since the observables in any row or column commute), but it will become important below. The PM inequality is of special interest for our program since it is violated up to the algebraic maximum with four- ...
canonical quantum electrodynamics in covariant gauges
... of the four-divergence of the Maxwell field is zero for all physical states, all these gauges ar e quantum generalizations of the classical Lorentz gauge . The quantization is carried out by mean s of a Lagrange multiplier field. It is shown that there exist generators for four-dimensional translati ...
... of the four-divergence of the Maxwell field is zero for all physical states, all these gauges ar e quantum generalizations of the classical Lorentz gauge . The quantization is carried out by mean s of a Lagrange multiplier field. It is shown that there exist generators for four-dimensional translati ...
Abstracts of talks for the history of science conference, One hundred
... Communicating the Heisenberg relations: Niels Bohr and the forgotten Einstein-Rupp experiments In 1926, Albert Einstein collaborated with Emil Rupp on a set of experiments that were to probe the wave versus particle nature of light. The experiments have now been forgotten, even though their history ...
... Communicating the Heisenberg relations: Niels Bohr and the forgotten Einstein-Rupp experiments In 1926, Albert Einstein collaborated with Emil Rupp on a set of experiments that were to probe the wave versus particle nature of light. The experiments have now been forgotten, even though their history ...
Quantum cryptography
... Quantum cryptography is cryptography of 21st century. An important new feature of quantum cryptography is that security of quantum cryptographic protocols is based on the laws of nature – of quantum physics, and not on the unproven assumptions of computational complexity . Quantum cryptography is th ...
... Quantum cryptography is cryptography of 21st century. An important new feature of quantum cryptography is that security of quantum cryptographic protocols is based on the laws of nature – of quantum physics, and not on the unproven assumptions of computational complexity . Quantum cryptography is th ...
A conformal field theory approach to the fractional quantum Hall
... states with non-abelian excitations, that can possibly occur in graphene. The derivation of these wave functions relies on an analysis using conformal field theory and group theory in analogy with an analysis done before for non-abelian SU(2) spin singlet states [1]. Structure of the thesis I wrote ...
... states with non-abelian excitations, that can possibly occur in graphene. The derivation of these wave functions relies on an analysis using conformal field theory and group theory in analogy with an analysis done before for non-abelian SU(2) spin singlet states [1]. Structure of the thesis I wrote ...
BORDISM: OLD AND NEW What follows are lecture notes from a
... We give a general discussion in a few weeks. One main idea of the course is to extract various algebraic structures of increasing complexity from smooth manifolds and bordism. Today we will use bordism to construct an equivalence relation, and so construct sets of bordism classes of manifolds. We wi ...
... We give a general discussion in a few weeks. One main idea of the course is to extract various algebraic structures of increasing complexity from smooth manifolds and bordism. Today we will use bordism to construct an equivalence relation, and so construct sets of bordism classes of manifolds. We wi ...
pdf
... This section offers a brief background on basic concepts in quantum computation. Quantum States and Superposition: While classical bits exist in only one of the binary states at any given time, quantum bits, or qubits, can exist in a superposition state, which is a linear combination of the |0i and ...
... This section offers a brief background on basic concepts in quantum computation. Quantum States and Superposition: While classical bits exist in only one of the binary states at any given time, quantum bits, or qubits, can exist in a superposition state, which is a linear combination of the |0i and ...
Quantum cryptography
... Quantum cryptography is cryptography of 21st century. An important new feature of quantum cryptography is that security of quantum cryptographic protocols is based on the laws of nature – of quantum physics, and not on the unproven assumptions of computational complexity . Quantum cryptography is th ...
... Quantum cryptography is cryptography of 21st century. An important new feature of quantum cryptography is that security of quantum cryptographic protocols is based on the laws of nature – of quantum physics, and not on the unproven assumptions of computational complexity . Quantum cryptography is th ...
MOCK MODULAR FORMS AND QUANTUM MODULAR FORMS 1
... It is clear that f (q) has singularities exactly when q is an even order root of unity. Ramanujan compared f (q) to b(q) = (1−q)(1−q 3 )(1−q 5 ) · · · (1−2q+2q 4 −· · · ). The function q −1/24 b(q) is a weakly holomorphic modular form. Moreover, Ramanujan claimed, and Watson [17] proved, that f (q)− ...
... It is clear that f (q) has singularities exactly when q is an even order root of unity. Ramanujan compared f (q) to b(q) = (1−q)(1−q 3 )(1−q 5 ) · · · (1−2q+2q 4 −· · · ). The function q −1/24 b(q) is a weakly holomorphic modular form. Moreover, Ramanujan claimed, and Watson [17] proved, that f (q)− ...
Quantization of Relativistic Free Fields
... When following this ad hoc procedure, care has to be taken that one is not dealing with phenomena that are sensitive to the omitted zero-point oscillations. Gravitational interactions, for example, couple to zero-point energy. The infinity creates a problem when trying to construct quantum field the ...
... When following this ad hoc procedure, care has to be taken that one is not dealing with phenomena that are sensitive to the omitted zero-point oscillations. Gravitational interactions, for example, couple to zero-point energy. The infinity creates a problem when trying to construct quantum field the ...
Quantum Rotations: A Case Study in Static and Dynamic Machine
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
Extremal properties of the variance and the quantum Fisher
... We will also discuss that numerical calculations suggest that the left-hand side and the right-hand side of Eq. (6) are very close to each other, even when A has nonzero diagonal elements or the density matrix has a rank larger than 2. Concerning the quantum Fisher information, we can also prove the ...
... We will also discuss that numerical calculations suggest that the left-hand side and the right-hand side of Eq. (6) are very close to each other, even when A has nonzero diagonal elements or the density matrix has a rank larger than 2. Concerning the quantum Fisher information, we can also prove the ...
Qualitative individuation in permutation
... But a consequence of the physical emptiness of the factor Hilbert space labels is that we cannot read facts about a physical state so readily off the mathematical form of the state-vector used to represent it. Instead we need to look at the algebra of admissible operators, which is greatly restrict ...
... But a consequence of the physical emptiness of the factor Hilbert space labels is that we cannot read facts about a physical state so readily off the mathematical form of the state-vector used to represent it. Instead we need to look at the algebra of admissible operators, which is greatly restrict ...