Special Issue on Lie Group Representation Theory, Coherent States,
... is an essential resource when facing those two fundamental problems, either as a valuable (mathematical) classification tool, a (gauge) guiding principle, or an essential building block, when the group structure is taken to the ultimate consequences. Although the representation theory of finitedimen ...
... is an essential resource when facing those two fundamental problems, either as a valuable (mathematical) classification tool, a (gauge) guiding principle, or an essential building block, when the group structure is taken to the ultimate consequences. Although the representation theory of finitedimen ...
phys_syllabi_412.pdf
... examples of quantum mechanics Other Useful Prerequisites: Classical Mechanics, Differential Equations, Linear Algebra. Course Times: MWF 11-12 in DRL 3C2. (Office hours: Drndic – Monday’s 3-4 pm ; additional one hour problem solving session/office hours by TA. Main Text: “Introduction to Quantum Mec ...
... examples of quantum mechanics Other Useful Prerequisites: Classical Mechanics, Differential Equations, Linear Algebra. Course Times: MWF 11-12 in DRL 3C2. (Office hours: Drndic – Monday’s 3-4 pm ; additional one hour problem solving session/office hours by TA. Main Text: “Introduction to Quantum Mec ...
II. Units of Measurement
... Heisenberg’s Uncertainty Principle There is a limit to just how precisely we can know both the position and velocity of a particle at a given time. ...
... Heisenberg’s Uncertainty Principle There is a limit to just how precisely we can know both the position and velocity of a particle at a given time. ...
QUANTUM THREE-PASS PROTOCOL: KEY DISTRIBUTION USING
... with the angle −θ j .) Since each qubit requires a different angle, this encryption is similar to a classical one-time pad which is a perfect encryption scheme in classical cryptography [32]. However, in a QTPP system, the key is not shared between users unlike the one-time pad system. Alice and Bob ...
... with the angle −θ j .) Since each qubit requires a different angle, this encryption is similar to a classical one-time pad which is a perfect encryption scheme in classical cryptography [32]. However, in a QTPP system, the key is not shared between users unlike the one-time pad system. Alice and Bob ...
Applications of Coherence by Identity
... Emerging undetected idler amplitude has a random phase and does not carry the image! ...
... Emerging undetected idler amplitude has a random phase and does not carry the image! ...
Physics 411: Introduction to Quantum Mechanics
... will be split into a take home problem and a test in class. There will be no class on October 12 (Fall break). The last class will be on Tuesday, Dec. 5, 2005. The comprehensive exam will be in class and is tentatively scheduled for Wednesday, December 13 from 10.15 AM to 12.15 PM in P306. Come to c ...
... will be split into a take home problem and a test in class. There will be no class on October 12 (Fall break). The last class will be on Tuesday, Dec. 5, 2005. The comprehensive exam will be in class and is tentatively scheduled for Wednesday, December 13 from 10.15 AM to 12.15 PM in P306. Come to c ...
Open Questions in Physics
... simple, so beautiful, that when we grasp it - in a decade, a century, or a millennium - we will all say to each other, how could it have been otherwise? How could we have ...
... simple, so beautiful, that when we grasp it - in a decade, a century, or a millennium - we will all say to each other, how could it have been otherwise? How could we have ...
Anomalous Magnetoresistance in Dirty Magnetic Quantum Wells
... rise to the formation of the Quantum Hall Ferromagnets (QHFM) at selected fields B c [1]. Here we report on new findings at the low-B limit. Since spin- polarization increases as B decreases magnetoresistance oscillation originated from the QHFM formation are clearly observed down to B = 0.3 T and u ...
... rise to the formation of the Quantum Hall Ferromagnets (QHFM) at selected fields B c [1]. Here we report on new findings at the low-B limit. Since spin- polarization increases as B decreases magnetoresistance oscillation originated from the QHFM formation are clearly observed down to B = 0.3 T and u ...
Quantum Polarization
... 3) Suppose 100 vertically polarized photons are heading toward the filter in front of your right eye. What will get through the filter? A) exactly 50 photons B) at least 50 photons C) around 50 photons Explain: How does this illustrate intrinsic randomness? 4) Suppose a vertically polarized photon i ...
... 3) Suppose 100 vertically polarized photons are heading toward the filter in front of your right eye. What will get through the filter? A) exactly 50 photons B) at least 50 photons C) around 50 photons Explain: How does this illustrate intrinsic randomness? 4) Suppose a vertically polarized photon i ...
Document
... De Finetti Theorem In the previous analysis, there was a very important hidden assumption: the attack of Eve is the same for each realization of the protocol. Quantum De Finetti theorem: Given a symmetric system, almost all of its parts are virtually identical and independent of each other. This re ...
... De Finetti Theorem In the previous analysis, there was a very important hidden assumption: the attack of Eve is the same for each realization of the protocol. Quantum De Finetti theorem: Given a symmetric system, almost all of its parts are virtually identical and independent of each other. This re ...
Computational Complexity and Physics
... The Information Loss Problem: Calculations suggest that Hawking radiation is thermal—uncorrelated with whatever fell in. So, is infalling information lost forever? Would violate the unitarity / reversibility of QM OK then, assume the information somehow gets out! The Xeroxing Problem: How could the ...
... The Information Loss Problem: Calculations suggest that Hawking radiation is thermal—uncorrelated with whatever fell in. So, is infalling information lost forever? Would violate the unitarity / reversibility of QM OK then, assume the information somehow gets out! The Xeroxing Problem: How could the ...
The Future of Computer Science
... Bennett et al. 1997: “Quantum magic” won’t be enough If you throw away the problem structure, and just consider an abstract “landscape” of 2n possible solutions, then even a quantum computer needs ~2n/2 steps to find the correct one (That bound is actually achievable, using Grover’s algorithm!) ...
... Bennett et al. 1997: “Quantum magic” won’t be enough If you throw away the problem structure, and just consider an abstract “landscape” of 2n possible solutions, then even a quantum computer needs ~2n/2 steps to find the correct one (That bound is actually achievable, using Grover’s algorithm!) ...
Mott insulators, Noise correlations and Coherent Spin Dynamics in Optical Lattices
... quantum phases of strongly correlated systems have been proposed for ultracold gases in optical lattices, however it has been unclear how a large variety of such states could be efficiently detected. We show that Hanbury Brown-Twiss noise correlation measurements of ultracold quantum gases allow a d ...
... quantum phases of strongly correlated systems have been proposed for ultracold gases in optical lattices, however it has been unclear how a large variety of such states could be efficiently detected. We show that Hanbury Brown-Twiss noise correlation measurements of ultracold quantum gases allow a d ...
class (Recovered)
... Homework is mandatory, Exam (mandatory for undergrad) and/or paper presentation/ project Topics in Quantum Information, by Ashwin Nayak. Lecture notes, by John Preskill. More lecture notes on his ...
... Homework is mandatory, Exam (mandatory for undergrad) and/or paper presentation/ project Topics in Quantum Information, by Ashwin Nayak. Lecture notes, by John Preskill. More lecture notes on his ...
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.