Quantum Gates and Simon`s Algorithm
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
... A register of two coupled qubits can hold any of the states |Ψi = α |↑↑i + β |↓↑i + γ |↑↓i + δ |↓↓i in the state space H2 ⊗ H2 = C2 ⊗ C2 . Two separate qubits Two separate qubits can hold any of the product states |Ψ1 i ⊗ |Ψ2 i = (α1 |↑i + β1 |↓i)⊗(α2 |↑i + β2 |↓i) in the state space H2 ⊕ H2 ⊂ C2 ⊕ ...
Quantum Fields on BTZ Black Holes
... In recent years there has been great interest in the so-called AdS/CFT correspondence. It seems fair to say that the majority of works on this topic belong to the string theory framework. However, with a more limited scope than in this framework, in the context of Quantum Field Theory (QFT), also so ...
... In recent years there has been great interest in the so-called AdS/CFT correspondence. It seems fair to say that the majority of works on this topic belong to the string theory framework. However, with a more limited scope than in this framework, in the context of Quantum Field Theory (QFT), also so ...
LOCAL UNITARY REPRESENTATIONS OF THE
... Topological quantum computation (TQC) is based on the storage and manipulation of information in the representation spaces of the braid group, which consist of quantum states of certain topological phases of matter [22]. The most important unitary braid group representations for TQC are the Jones re ...
... Topological quantum computation (TQC) is based on the storage and manipulation of information in the representation spaces of the braid group, which consist of quantum states of certain topological phases of matter [22]. The most important unitary braid group representations for TQC are the Jones re ...
Lectures on Quantum Gravity and Black Holes
... In D > 2, this term is not renormalizable. This means that the theory is strongly coupled at the Planck scale. If we try to compute scattering amplitudes using Feynman diagrams, we would find non-sensical, non-unitary answers for E & MP . The rules of effective field theory tell us that we must incl ...
... In D > 2, this term is not renormalizable. This means that the theory is strongly coupled at the Planck scale. If we try to compute scattering amplitudes using Feynman diagrams, we would find non-sensical, non-unitary answers for E & MP . The rules of effective field theory tell us that we must incl ...
Macroscopic superposition states and decoherence by quantum
... of freedom leads to an irreversible loss of information about an initially prepared superposition of quantum states. This phenomenon, commonly referred to as decoherence or dephasing, is the subject of the second part of the thesis with the title “Decoherence by quantum telegraph noise”. We have stu ...
... of freedom leads to an irreversible loss of information about an initially prepared superposition of quantum states. This phenomenon, commonly referred to as decoherence or dephasing, is the subject of the second part of the thesis with the title “Decoherence by quantum telegraph noise”. We have stu ...
Product Operator - Vanderbilt Center for Structural Biology
... Note the opposite order of the propagators. The Heisenberg representation, though it provides less intuitive insight, is of advantage when the evolution should be discussed for various initial conditions a(0). As long as relaxation is not considered both representations are only trivially different. ...
... Note the opposite order of the propagators. The Heisenberg representation, though it provides less intuitive insight, is of advantage when the evolution should be discussed for various initial conditions a(0). As long as relaxation is not considered both representations are only trivially different. ...
Modeling quantum fluid dynamics at nonzero temperatures
... temperature in such systems. The Landau two-fluid model is the most successful hydrodynamical theory of superfluid helium, but by the nature of the scale separations it cannot give an adequate description of the processes involving vortex dynamics and interactions. In our contribution we introduce a ...
... temperature in such systems. The Landau two-fluid model is the most successful hydrodynamical theory of superfluid helium, but by the nature of the scale separations it cannot give an adequate description of the processes involving vortex dynamics and interactions. In our contribution we introduce a ...
How to reuse a one-time pad and other notes on... of quantum information
... whether correlations in different messages could be learned even though the key might remain secret. Key-recycling makes use of one of the fundamental properties of quantum information—it cannot be copied or cloned 关11兴. What this means is that the encryption is such that Eve cannot make copies of s ...
... whether correlations in different messages could be learned even though the key might remain secret. Key-recycling makes use of one of the fundamental properties of quantum information—it cannot be copied or cloned 关11兴. What this means is that the encryption is such that Eve cannot make copies of s ...
Nonequilibrium entropy production in open and closed quantum
... 1.2 Organization of the thesis The scope of the present thesis is to draw a bow over a wide range of coupling strengths of a quantum system to its thermal surroundings. Therefore, we start with an introductory chapter 2, in which we summarize the main developments in recent statistical physics for c ...
... 1.2 Organization of the thesis The scope of the present thesis is to draw a bow over a wide range of coupling strengths of a quantum system to its thermal surroundings. Therefore, we start with an introductory chapter 2, in which we summarize the main developments in recent statistical physics for c ...
Atomic Bose-Hubbard Systems with Single-Particle
... potentials on top of a square optical lattice. With these tailored potentials, we control dynamics and deterministically address individual particles in the optical lattice [15, 16]. The development of single-particle control for neutral atoms enables new types of experiments. We deterministically p ...
... potentials on top of a square optical lattice. With these tailored potentials, we control dynamics and deterministically address individual particles in the optical lattice [15, 16]. The development of single-particle control for neutral atoms enables new types of experiments. We deterministically p ...
Basic Notions of Quantum Network Science
... by ISI as one of the ten most cited papers in physics in the decade after its publication. • 1999: Barabasi and Albert paper is the most cited Science paper in 1999;highlighted by ISI as one of the ten most cited papers in physics in the decade after its publication. • 2001: Pastor -Satorras and Ves ...
... by ISI as one of the ten most cited papers in physics in the decade after its publication. • 1999: Barabasi and Albert paper is the most cited Science paper in 1999;highlighted by ISI as one of the ten most cited papers in physics in the decade after its publication. • 2001: Pastor -Satorras and Ves ...
