Three particle Hyper Entanglement: Teleportation and Quantum Key
... have been demonstrated for teleporting an unknown quantum state [1], super dense coding of information [2] and secure communication [3]. An arbitrary qubit can be teleported from one particle to another with the use of an entangled pair of particles, which had been experimentally verified in differe ...
... have been demonstrated for teleporting an unknown quantum state [1], super dense coding of information [2] and secure communication [3]. An arbitrary qubit can be teleported from one particle to another with the use of an entangled pair of particles, which had been experimentally verified in differe ...
Complex Obtuse Random Walks and their Continuous
... complex case is far from obvious and hides very interesting algebraical structures. We show that complex obtuse random variables are characterized by a 3-tensor which admits certain symmetries which we show to be the exact 3-tensor analogue of the normal character for 2-tensors (i.e. matrices), that ...
... complex case is far from obvious and hides very interesting algebraical structures. We show that complex obtuse random variables are characterized by a 3-tensor which admits certain symmetries which we show to be the exact 3-tensor analogue of the normal character for 2-tensors (i.e. matrices), that ...
1 Path Integrals and Their Application to Dissipative Quantum Systems
... The coupling of a system to its environment is a recurrent subject in this collection of lecture notes. The consequences of such a coupling are threefold. First of all, energy may irreversibly be transferred from the system to the environment thereby giving rise to the phenomenon of dissipation. In ...
... The coupling of a system to its environment is a recurrent subject in this collection of lecture notes. The consequences of such a coupling are threefold. First of all, energy may irreversibly be transferred from the system to the environment thereby giving rise to the phenomenon of dissipation. In ...
Why We Thought Linear Optics Sucks at Quantum Computing
... Detectors are Photon-Number Resolving ...
... Detectors are Photon-Number Resolving ...
Quantum Computing
... constraints must be imposed on it. This issue is discussed later in this section. In analogy with a classical bit, a two-state quantum system is called a qubit, or quantum bit. Mathematically, a qubit takes a value in the vector space C 2 . We single out two orthogonal basis vectors in this space, a ...
... constraints must be imposed on it. This issue is discussed later in this section. In analogy with a classical bit, a two-state quantum system is called a qubit, or quantum bit. Mathematically, a qubit takes a value in the vector space C 2 . We single out two orthogonal basis vectors in this space, a ...
Change Without Time - Publikationsserver der Universität Regensburg
... system can act as a carrier of information on time between the (classical) preparation and measurement devices, or, to put it differently, the quantum system always shares the same time with the measurement apparatus, even without any intentional measurement of time being performed. This means, that ...
... system can act as a carrier of information on time between the (classical) preparation and measurement devices, or, to put it differently, the quantum system always shares the same time with the measurement apparatus, even without any intentional measurement of time being performed. This means, that ...
Interacting Quantum Observables: Categorical Algebra and
... encodes the basis A as those states that it effectively copies; the no-cloning theorem guarantees that the basis vectors are the only states with this property. Note here that δ may be realised as a unitary map on H ⊗ H with one input fixed, for example, by U : |ai i ⊗ |aj i 7→ |ai i ⊗ |ai+j i where ...
... encodes the basis A as those states that it effectively copies; the no-cloning theorem guarantees that the basis vectors are the only states with this property. Note here that δ may be realised as a unitary map on H ⊗ H with one input fixed, for example, by U : |ai i ⊗ |aj i 7→ |ai i ⊗ |ai+j i where ...
On quantum detection and the square
... consisting of projections onto measurement vectors “close” to the given states. Their choice of measurement results in a high probability of correctly determining the state emitted by the source, and a large mutual information between the state and the measurement outcome. However, they do not expla ...
... consisting of projections onto measurement vectors “close” to the given states. Their choice of measurement results in a high probability of correctly determining the state emitted by the source, and a large mutual information between the state and the measurement outcome. However, they do not expla ...
Tensors - University of Miami Physics Department
... function of one vector variable (11 T ) and for the scalar-valued function of two vector variables (02 T ). This is overly fussy, and it’s common practice to use the same symbol (T ) for both, with the hope that the context will make clear which one you actually mean. In fact it is so fussy that I w ...
... function of one vector variable (11 T ) and for the scalar-valued function of two vector variables (02 T ). This is overly fussy, and it’s common practice to use the same symbol (T ) for both, with the hope that the context will make clear which one you actually mean. In fact it is so fussy that I w ...
Classical and quantum dynamics on p
... consciousness cannot be explained by the formalism of the classical cognitive mechanics. To explain this phenomenon, we develop a variant of quantum cognitive mechanics. In this model an idea moves in mental space not only due to classical information forces (which can be in principle reduced to the ...
... consciousness cannot be explained by the formalism of the classical cognitive mechanics. To explain this phenomenon, we develop a variant of quantum cognitive mechanics. In this model an idea moves in mental space not only due to classical information forces (which can be in principle reduced to the ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.