Quantum computing with photons: introduction to the circuit model
... quantum computing are presented and the quantum circuit model as well as measurement-based models of quantum computing are introduced. Furthermore, it is shown how these concepts can be implemented experimentally using photonic qubits, where information is encoded in the photons’ polarization. Keywo ...
... quantum computing are presented and the quantum circuit model as well as measurement-based models of quantum computing are introduced. Furthermore, it is shown how these concepts can be implemented experimentally using photonic qubits, where information is encoded in the photons’ polarization. Keywo ...
QuVis: The Quantum Mechanics Visualization Project
... and animations (collectively called animations in what follows) for the teaching and learning of quantum mechanics concepts at university level [4,5]. This resource builds on existing education research as well as our teaching experience. The animations are in many ways complementary to other resour ...
... and animations (collectively called animations in what follows) for the teaching and learning of quantum mechanics concepts at university level [4,5]. This resource builds on existing education research as well as our teaching experience. The animations are in many ways complementary to other resour ...
LECTURES ON SYMPLECTIC REFLECTION ALGEBRAS Setting. W
... Summarizing, for the free generators F2 = ∆, . . . , Fn+1 of S(h)W , the elements Hi := φ(Θ(Fi )) form a completely integrable system (modulo ~, they generate a subalgebra isomorphic to S(h)W ). 13.4. Future directions. We have found first integrals for the classical CM system of type A in two differe ...
... Summarizing, for the free generators F2 = ∆, . . . , Fn+1 of S(h)W , the elements Hi := φ(Θ(Fi )) form a completely integrable system (modulo ~, they generate a subalgebra isomorphic to S(h)W ). 13.4. Future directions. We have found first integrals for the classical CM system of type A in two differe ...
Microscopic Chaos and Nonequilibrium Statistical Mechanics: From
... Today, a dynamical understanding of natural phenomena is under rapid development in nonlinear science and dynamical systems theory. Many recent works have recognized the fact that natural phenomena are essentially temporal and spatio-temporal processes [1]. They are characterized by different time s ...
... Today, a dynamical understanding of natural phenomena is under rapid development in nonlinear science and dynamical systems theory. Many recent works have recognized the fact that natural phenomena are essentially temporal and spatio-temporal processes [1]. They are characterized by different time s ...
A Complete Characterization of Unitary Quantum
... • Use post processing to analyze results of measurements (rejecting if two consecutive measurement outcomes differ too many times) • Analysis relies on “Jordan’s lemma” ...
... • Use post processing to analyze results of measurements (rejecting if two consecutive measurement outcomes differ too many times) • Analysis relies on “Jordan’s lemma” ...
Document
... We can combat the noise by selecting 2N[1 - H(q)] sufficiently different messages. More generally, a string of N symbols, each taking one of the values {ai}: Alice can produce about 2NH(A) likely messages. Each of these messages can produce 2NH(B|A) likely received strings. The number of of messages ...
... We can combat the noise by selecting 2N[1 - H(q)] sufficiently different messages. More generally, a string of N symbols, each taking one of the values {ai}: Alice can produce about 2NH(A) likely messages. Each of these messages can produce 2NH(B|A) likely received strings. The number of of messages ...
Analysis of medical time series using methods of
... Curvatures - Geometrical invariants of a curve The main message of the differential geometry: It is more natural to describe local properties of the curve in terms of a local reference system than using a global one like the euclidean coordinates. Frenet frame is a moving reference frame of orthonor ...
... Curvatures - Geometrical invariants of a curve The main message of the differential geometry: It is more natural to describe local properties of the curve in terms of a local reference system than using a global one like the euclidean coordinates. Frenet frame is a moving reference frame of orthonor ...
Correlated-Photon Experiments for Undergraduate Labs
... This document gives an overview of the laboratory procedures for doing experiments with correlated photons in the undergraduate setting. Our goal is to disseminate a laboratory method that serves to teach the fundamentals of quantum mechanics. The experiments can be set up on an optical breadboard. ...
... This document gives an overview of the laboratory procedures for doing experiments with correlated photons in the undergraduate setting. Our goal is to disseminate a laboratory method that serves to teach the fundamentals of quantum mechanics. The experiments can be set up on an optical breadboard. ...
The principle of a finite density of information
... a region of space is bounded or not, whenever its state space contains two states u and v, then it must also contain all the linear combinations λu + µv up to a renormalization factor. Hence it is infinite, and the finite density principle cannot be formulated as the fact that the set of states of a ...
... a region of space is bounded or not, whenever its state space contains two states u and v, then it must also contain all the linear combinations λu + µv up to a renormalization factor. Hence it is infinite, and the finite density principle cannot be formulated as the fact that the set of states of a ...
This course is: • Fun!
... • IF this meant half the atoms were in |+> and half were in |->, what would we get if we put this state into another S-G devise to measure the spin along X? • How do we know which we have in our S-G system? • (CALCULATE IT!) ...
... • IF this meant half the atoms were in |+> and half were in |->, what would we get if we put this state into another S-G devise to measure the spin along X? • How do we know which we have in our S-G system? • (CALCULATE IT!) ...
Magnetic Excitations of Stripes near a Quantum Critical Point
... Both coupling strengths have ordered ground states, as discussed below. The results are rather similar for siteand bond-centered stripes [5], with the main difference being that while the satellite peaks are too weak to be visible at low energy in the site-centered case, they are visible (although f ...
... Both coupling strengths have ordered ground states, as discussed below. The results are rather similar for siteand bond-centered stripes [5], with the main difference being that while the satellite peaks are too weak to be visible at low energy in the site-centered case, they are visible (although f ...
PHYS 430
... Assume that our alphabet is composed of only two letters 1 and 0 occurring with probability p1= 0.1 and p0= 0.9 respectively. Naively, one could say that if each letter can be either 1 or 0 then the information transmitted per letterhas to be one bit. But this answer does not take into account the d ...
... Assume that our alphabet is composed of only two letters 1 and 0 occurring with probability p1= 0.1 and p0= 0.9 respectively. Naively, one could say that if each letter can be either 1 or 0 then the information transmitted per letterhas to be one bit. But this answer does not take into account the d ...
URL - StealthSkater
... length scale hypothesis also suggests that the p-adic prime associated with the entire Universe is infinite. These arguments motivate the attempt to construct a theory of infinite primes and to extend Quantum-TGD so that infinite primes are also possible. Rather surprisingly, one can construct what ...
... length scale hypothesis also suggests that the p-adic prime associated with the entire Universe is infinite. These arguments motivate the attempt to construct a theory of infinite primes and to extend Quantum-TGD so that infinite primes are also possible. Rather surprisingly, one can construct what ...
Quantum key distribution
Quantum key distribution (QKD) uses quantum mechanics to guarantee secure communication. It enables two parties to produce a shared random secret key known only to them, which can then be used to encrypt and decrypt messages. It is often incorrectly called quantum cryptography, as it is the most well known example of the group of quantum cryptographic tasks.An important and unique property of quantum key distribution is the ability of the two communicating users to detect the presence of any third party trying to gain knowledge of the key. This results from a fundamental aspect of quantum mechanics: the process of measuring a quantum system in general disturbs the system. A third party trying to eavesdrop on the key must in some way measure it, thus introducing detectable anomalies. By using quantum superpositions or quantum entanglement and transmitting information in quantum states, a communication system can be implemented which detects eavesdropping. If the level of eavesdropping is below a certain threshold, a key can be produced that is guaranteed to be secure (i.e. the eavesdropper has no information about it), otherwise no secure key is possible and communication is aborted.The security of encryption that uses quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional public key cryptography which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping at any point in the communication process, or any mathematical proof as to the actual complexity of reversing the one-way functions used. QKD has provable security based on information theory, and forward secrecy.Quantum key distribution is only used to produce and distribute a key, not to transmit any message data. This key can then be used with any chosen encryption algorithm to encrypt (and decrypt) a message, which can then be transmitted over a standard communication channel. The algorithm most commonly associated with QKD is the one-time pad, as it is provably secure when used with a secret, random key. In real world situations, it is often also used with encryption using symmetric key algorithms like the Advanced Encryption Standard algorithm. In the case of QKD this comparison is based on the assumption of perfect single-photon sources and detectors, that cannot be easily implemented.