Entanglement Spectrum MIT 2016
... For topologically trivial systems (AKLT, Heisenberg models): entanglement spectrum matches the energies of a local Hamiltonian on boundary For topological systems (Toric code): needs non-local Hamiltonian ...
... For topologically trivial systems (AKLT, Heisenberg models): entanglement spectrum matches the energies of a local Hamiltonian on boundary For topological systems (Toric code): needs non-local Hamiltonian ...
950 - IACR
... possible future attacks on today’s schemes. We only need to reliably judge the current state of the art, not future technologies. Unfortunately, also for everlasting security, we have strong impossibility results. It is straightforward to see that everlastingly secure public key encryption is not po ...
... possible future attacks on today’s schemes. We only need to reliably judge the current state of the art, not future technologies. Unfortunately, also for everlasting security, we have strong impossibility results. It is straightforward to see that everlastingly secure public key encryption is not po ...
On realism and quantum mechanics
... (QM1 ) C The probability for ν1 of passing through A is 1/2. If photon ν1 passes through A, then photon ν1 is (operationally) linearly polarized along the direction of the axis of A. Contemporaneously, photon ν2 assumes the same polarization. (QM1 ) D If photon ν1 passes through A, then photon ν2 wi ...
... (QM1 ) C The probability for ν1 of passing through A is 1/2. If photon ν1 passes through A, then photon ν1 is (operationally) linearly polarized along the direction of the axis of A. Contemporaneously, photon ν2 assumes the same polarization. (QM1 ) D If photon ν1 passes through A, then photon ν2 wi ...
slides - University of Colorado Boulder
... “I thought the simulations were great. It helped me to gain intuition about the topic. This is especially useful in quantum mechanics where Ranked one of the most useful aspects it is not normally possible to directly observe of the course on end of term survey: the described phenomena.” How useful ...
... “I thought the simulations were great. It helped me to gain intuition about the topic. This is especially useful in quantum mechanics where Ranked one of the most useful aspects it is not normally possible to directly observe of the course on end of term survey: the described phenomena.” How useful ...
Classical World because of Quantum Physics
... - Quantum-to-classical transition without environment (i.e. no decoherence) and within quantum physics (i.e. no collapse models) A. Peres, Quantum Theory: Concepts and Methods (Kluwer 1995) ...
... - Quantum-to-classical transition without environment (i.e. no decoherence) and within quantum physics (i.e. no collapse models) A. Peres, Quantum Theory: Concepts and Methods (Kluwer 1995) ...
the duality of matter and waves
... a conceptual problem. The deBroglie wave consists of a packet of waves that travel together at the group velocity V. The length of the packet decreases as its velocity increases. It is a curious mathematical construct with no classical analog. Its was accepted because it produced results. Schrödinge ...
... a conceptual problem. The deBroglie wave consists of a packet of waves that travel together at the group velocity V. The length of the packet decreases as its velocity increases. It is a curious mathematical construct with no classical analog. Its was accepted because it produced results. Schrödinge ...
Document
... An operator that is diagonal in the primordial basis, is a BEABLE . In the original basis: ...
... An operator that is diagonal in the primordial basis, is a BEABLE . In the original basis: ...
The quantum Heisenberg group H(1)q
... The structure of the quantum Heisenberg group is studied in the two different frameworks of the Lie algebra deformations and of the quantum matrix pseudogroups. The R-matrix connecting the two approaches, together with its classical limit r, are explicitly calculated by using the contraction techniq ...
... The structure of the quantum Heisenberg group is studied in the two different frameworks of the Lie algebra deformations and of the quantum matrix pseudogroups. The R-matrix connecting the two approaches, together with its classical limit r, are explicitly calculated by using the contraction techniq ...
Deterministic Controlled-NOT Gate For Single-Photon Two
... It has been recognized that building a deterministic quantum information processor (QIP) is possible for systems that use several degrees of freedom of a singlephoton to encode multiple qubits [3]. This type of QIP cannot be used for general-purpose quantum computation because it requires resources ...
... It has been recognized that building a deterministic quantum information processor (QIP) is possible for systems that use several degrees of freedom of a singlephoton to encode multiple qubits [3]. This type of QIP cannot be used for general-purpose quantum computation because it requires resources ...
On Quantum vs. Classical Communication Complexity
... computational models, as of today, where people have tools to prove “hardness”. This can be used to compare the computational power of two communication regimes via demonstrating a problem that has an efficient solution in one regime, but not in the other. Many researchers have applied this methodol ...
... computational models, as of today, where people have tools to prove “hardness”. This can be used to compare the computational power of two communication regimes via demonstrating a problem that has an efficient solution in one regime, but not in the other. Many researchers have applied this methodol ...
Tutorial 9 - UBC Physics
... polarizations, we can show that the average probability of passing though the first polarizer is t/2 (can you prove this?). ln parts c and e, you have calculated the probability for a photon that has passed through the first polarizer to pass through the second polarizer, and the probability for a p ...
... polarizations, we can show that the average probability of passing though the first polarizer is t/2 (can you prove this?). ln parts c and e, you have calculated the probability for a photon that has passed through the first polarizer to pass through the second polarizer, and the probability for a p ...
0321813545_07_final
... slits singly and cannot interact with each other. Students have a hard time visualizing what the wavelength of a particle means. Students are misled by the probabilistic nature of quantum mechanics in much the same way that Einstein was. They presume that probabilities must be invoked becaus ...
... slits singly and cannot interact with each other. Students have a hard time visualizing what the wavelength of a particle means. Students are misled by the probabilistic nature of quantum mechanics in much the same way that Einstein was. They presume that probabilities must be invoked becaus ...
A Quantum Information Processing Explanation of Disjunction Effects
... To select a strategy, the player must evaluate the payoffs of the actions. Thus the state ψ is processed by a quantum operator Ut for some period of time t which transforms the previous state into a final state ϕ = Ut · ψ = [ϕDD, ϕDC, ϕCD, ϕCC]. Finally, the observed probability of choosing to defec ...
... To select a strategy, the player must evaluate the payoffs of the actions. Thus the state ψ is processed by a quantum operator Ut for some period of time t which transforms the previous state into a final state ϕ = Ut · ψ = [ϕDD, ϕDC, ϕCD, ϕCC]. Finally, the observed probability of choosing to defec ...
(pdf)
... measure a vector |ψi = α|0i + β|1i, we will obtain the state |0i with probability |α|2 and the state |1i with probability |β|2 , and these probabilities must sum to one. Remark: Multiplying |ψi by a factor eıφ (φ real) results in an indistinguishable state, since for any complex number α, |α eıφ |2 ...
... measure a vector |ψi = α|0i + β|1i, we will obtain the state |0i with probability |α|2 and the state |1i with probability |β|2 , and these probabilities must sum to one. Remark: Multiplying |ψi by a factor eıφ (φ real) results in an indistinguishable state, since for any complex number α, |α eıφ |2 ...
A Quantum Analog to Basis Function Networks
... input stimulus, and the output nodes' response is a linear combination of the hidden node responses. However, basis functions other than Gaussian can be used [9]. This paper considers one such approach, presenting a Fourier-based quantum learning algorithm. It introduces a unique approach to computa ...
... input stimulus, and the output nodes' response is a linear combination of the hidden node responses. However, basis functions other than Gaussian can be used [9]. This paper considers one such approach, presenting a Fourier-based quantum learning algorithm. It introduces a unique approach to computa ...
Quantum Field Theory - Why and When?
... elementary excitations or quasiparticles. The perhaps simplest example, and the one treated in some detail in the first chapter of the textbook, is that of phonons in a crystal. A phonon is a quantum of sound, just as the photon is a quantum of light. The difference is that while photons are quanta ...
... elementary excitations or quasiparticles. The perhaps simplest example, and the one treated in some detail in the first chapter of the textbook, is that of phonons in a crystal. A phonon is a quantum of sound, just as the photon is a quantum of light. The difference is that while photons are quanta ...
slides
... Brief review of thermoelectric physics and experimental studies of thermopower in 2D systems. What is expected under microwave irradiation? Theoretical approach to the problem of thermoelectric current and thermopower in the presence of microwaves. Presentation of results, discussion, conclusi ...
... Brief review of thermoelectric physics and experimental studies of thermopower in 2D systems. What is expected under microwave irradiation? Theoretical approach to the problem of thermoelectric current and thermopower in the presence of microwaves. Presentation of results, discussion, conclusi ...
Experimental realization of Shor`s quantum factoring algorithm using
... Costantino S. Yannoni*, Mark H. Sherwood* & Isaac L. Chuang*² * IBM Almaden Research Center, San Jose, California 95120, USA ² Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075, USA ...
... Costantino S. Yannoni*, Mark H. Sherwood* & Isaac L. Chuang*² * IBM Almaden Research Center, San Jose, California 95120, USA ² Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075, USA ...
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.