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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Equivalence Checking of Quantum Circuits by Nonlocality
量子电路 非局域 等价性检验
2023/4/17
Suppose two quantum circuit chips are located at different places, for which we do not have any prior knowledge, and cannot see the internal structures either. In such a situation, a realistic and fun...
THE EQUIVALENCE THEOREM AND GLOBAL ANOMALIES
Bosons goldstein bosons current the standard model
2014/12/23
In the presence of some forms of global anomalies, the equivalence theorem, which relates the interactions of longitudinal gauge bosons to those of the Goldstone bosons, is not always valid. This can ...
Equivalence Principle Violations and Couplings of a Light Dilaton
Exchange of light coupling inverse cubic root atoms scalar coupling parameterized
2014/12/18
We consider possible violations of the equivalence principle through the exchange of a light “dilaton-like” scalar field. Using recent work on the quark-mass dependence of nuclear binding, we find tha...
Phenomenology of the equivalence principle with light scalars
Scalar particles of light the coupling strength scalar atoms coupling system the coupling
2014/12/18
Light scalar particles with couplings of sub-gravitational strength, which can generically be called 'dilatons', can produce violations of the equivalence principle. However, in order to understand ex...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equa-tion Point transformation Painleve equation
2011/7/29
Abstract: Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of noneq...
Unconstrained Variables and Equivalence Relations for Lattice Gauge Theories
Unconstrained Variables Equivalence Relations Lattice Gauge Theories
2010/12/27
We write the partition function for a lattice gauge theory exactly in terms of unconstrained variables and show that in the calculation for the effective potential, which involves uniform field config...
Equivalence of A-Maximization and Volume Minimization
Equivalence Maximization Volume Minimization
2010/12/23
The low energy effective theory on a stack of D3-branes at a Calabi-Yau singularity is an $\mathcal{N} = 1$ quiver gauge theory. The AdS/CFT correspondence predicts that the strong coupling dynamics ...
Unconstrained Variables and Equivalence Relations for Lattice Gauge Theories
Unconstrained Variables Equivalence Relations
2011/1/7
We write the partition function for a lattice gauge theory exactly in terms of unconstrained variables and show that in the calculation for the effective potential, which involves uniform field config...
Here we show how an anisotropic uid in the di usion limit can be equivalent to an isotropic
uid in the streaming out limit, in spherical symmetry.
Equivalence of O(3) nonlinear sigma model and the CP1 model: A path integral approach
O(3) nonlinear sigma model CP1 model integral approach
2010/11/8
A rigorous proof is given on the equivalence of the O(3) nonlinear sigma model and the CP1 model via path integral approach.
Deciding Unitary Equivalence Between Matrix Polynomials and Sets of Bipartite Quantum States
Deciding Unitary Equivalence Matrix Polynomials Sets of Bipartite Quantum States
2010/10/29
In this brief report, we consider the equivalence between two sets of $m+1$ bipartite quantum states under local unitary transformations. For pure states, this problem corresponds to the matrix algebr...
Gravitational Redshift, Equivalence Principle, and Matter Waves
Gravitational Redshift Equivalence Principle Matter Waves
2010/10/27
We review matter wave and clock comparison tests of the gravitational redshift. To elucidate
their relationship to tests of the universality of free fall (UFF), we define scenarios wherein redshift v...
Local unitary equivalence and distinguishability of arbitrary multipartite pure states
Local unitary equivalence distinguishability arbitrary multipartite pure states
2010/10/18
Entanglement in multipartite quantum systems, due to its importance in quantum information theory, became a topic of numerous investigations (see [1] for a recent comprehensive
review of various aspe...
Can Equivalence Principle be consistent with the Bohr-Somerfeld-Hansson Theory of the Newtonian Gravity
Bohr-Somerfeld-Hansson Theory Newtonian Gravity
2010/10/26
In this work we consider some consequences of the Bohr-Sommerfeld-Hansson (Old or
quasi-classical) quantum theory of the Newtonian gravity, i.e. of the ”gravitational atom”.
We prove that in this ca...