Quantum Potpourri
... characterized by their entire distributions, called wave functions or orbitals, rather than by instantaneous positions and velocities: an electron may be considered always to be, with appropriate probability, at all points of its distribution, which does not vary with time. (F. E. Harris) For exampl ...
... characterized by their entire distributions, called wave functions or orbitals, rather than by instantaneous positions and velocities: an electron may be considered always to be, with appropriate probability, at all points of its distribution, which does not vary with time. (F. E. Harris) For exampl ...
QUASICLASSICAL AND QUANTUM SYSTEMS OF ANGULAR FOR QUANTUM-MECHANICAL MODELS WITH SYMMETRIES
... numbers, i.e., “quickly oscillating” wave functions on groups. They are related in an interesting way to geometry of the coadjoint orbits of SU(2). ...
... numbers, i.e., “quickly oscillating” wave functions on groups. They are related in an interesting way to geometry of the coadjoint orbits of SU(2). ...
Optical Quantum Information Processing
... Photon only detected in one output. -use g(2) = 0 to test sources… Equally likely to be transmitted or reflected -- cannot tell which: ...
... Photon only detected in one output. -use g(2) = 0 to test sources… Equally likely to be transmitted or reflected -- cannot tell which: ...
Document
... Ask some friendly theorists for help. [or see, e.g., Y. Sun, J. Bergou, and M. Hillery, Phys. Rev. A 66, 032315 (2002).] ...
... Ask some friendly theorists for help. [or see, e.g., Y. Sun, J. Bergou, and M. Hillery, Phys. Rev. A 66, 032315 (2002).] ...
École Doctorale de Physique de la Région Parisienne
... Unexpectedly, a completely different scenario has been discovered recently in 2+1 dimensional models of fermions interacting with critical spin waves near a quantum antiferromagnet-normal metal transition. Near such a quantum phase transition the system develops an SU(2) order parameter, which chara ...
... Unexpectedly, a completely different scenario has been discovered recently in 2+1 dimensional models of fermions interacting with critical spin waves near a quantum antiferromagnet-normal metal transition. Near such a quantum phase transition the system develops an SU(2) order parameter, which chara ...
Theory of quantum state control with solid-state qubits Research supervisor
... The potential to exploit quantum-mechanics in technology, from sensors to computers, is vast. Essential for these developments, however, is the ability to take a quantum system with a few discrete states, such as an exciton in a quantum dot or impurity state in a crystal, and control its wavefunctio ...
... The potential to exploit quantum-mechanics in technology, from sensors to computers, is vast. Essential for these developments, however, is the ability to take a quantum system with a few discrete states, such as an exciton in a quantum dot or impurity state in a crystal, and control its wavefunctio ...
“Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?” JOSEPH LEONARD TUBERGEN
... Just what does psi really mean? -Erich Hückel This was the title of the famous (EPR) paper by Albert Einstein, Boris Podolsky, and Nathan Rosen in their analysis of the interpretation of quantum theory. One cannot interpret quantum mechanics without first adopting a philosophical position towards “p ...
... Just what does psi really mean? -Erich Hückel This was the title of the famous (EPR) paper by Albert Einstein, Boris Podolsky, and Nathan Rosen in their analysis of the interpretation of quantum theory. One cannot interpret quantum mechanics without first adopting a philosophical position towards “p ...
The Learnability of Quantum States
... verifier will consist of “training inputs” x1,…,xm where m=poly(n), as well as whether xiL for all i Given a purported quantum advice state |, the verifier first checks that | yields the right answers on the training inputs, and only then uses it on its real input x By the Quantum Occam’s Razor ...
... verifier will consist of “training inputs” x1,…,xm where m=poly(n), as well as whether xiL for all i Given a purported quantum advice state |, the verifier first checks that | yields the right answers on the training inputs, and only then uses it on its real input x By the Quantum Occam’s Razor ...
Thermal de Broglie Wavelength
... usually called the “thermal de Broglie wavelength” Λ. Here the Maxwell distribution of molecular speeds in an ideal gas is ⎛ m ⎞ D(υ ) = ⎜ ⎝ 2π kT ⎟⎠ ...
... usually called the “thermal de Broglie wavelength” Λ. Here the Maxwell distribution of molecular speeds in an ideal gas is ⎛ m ⎞ D(υ ) = ⎜ ⎝ 2π kT ⎟⎠ ...
Quantum Teleportation
... • 2) She can measure the state in her possession and communicate the measurement to Bob, who prepares an identical state. – Quantum measurement is unreliable unless Alice knows beforehand that her state belongs to an orthonormal set. ...
... • 2) She can measure the state in her possession and communicate the measurement to Bob, who prepares an identical state. – Quantum measurement is unreliable unless Alice knows beforehand that her state belongs to an orthonormal set. ...
Document
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
... • Alice sends Bob a stream of photons which have been randomly polarized to one of four states (0o,45o,90o,135o). • Bob measures the photons in a random sequence of basis. • Alice and Bob publicly announces the sequence of basis they used. • Alice and Bob discard the results that have been measured ...
The Learnability of Quantum States
... unless QM is wrong, there doesn’t seem to be any Presents an obvious practical problem when using fundamental obstacle conventional computers to simulate quantum mechanics ...
... unless QM is wrong, there doesn’t seem to be any Presents an obvious practical problem when using fundamental obstacle conventional computers to simulate quantum mechanics ...
review
... polarization or spin of entangled particles in different directions, which—by producing violations of Bell's inequality—demonstrate statistically that the local realist view cannot be correct. This has been shown to occur even when the measurements are performed more quickly than light could travel ...
... polarization or spin of entangled particles in different directions, which—by producing violations of Bell's inequality—demonstrate statistically that the local realist view cannot be correct. This has been shown to occur even when the measurements are performed more quickly than light could travel ...
Q.M3 Home work 9 Due date 3.1.15 1
... A coherent state is the specific quantum state of the quantum harmonic oscillator whose dynamics most closely resembles the oscillating behaviour of a classical harmonic oscillator. Further, in contrast to the energy eigenstates of the system, the time evolution of a coherent state is concentrated a ...
... A coherent state is the specific quantum state of the quantum harmonic oscillator whose dynamics most closely resembles the oscillating behaviour of a classical harmonic oscillator. Further, in contrast to the energy eigenstates of the system, the time evolution of a coherent state is concentrated a ...
x 100 QUANTUM NUMBERS AND SYMBOLS
... 3. Is it possible to have two electrons in an atom with the same n, l, and ml? 4. How many subshells are there in an atom in the level with a principal quantum number n=3? 5. What type of orbital in an atom is designated by quantum numbers n=4, l =3, and ml =0? 6. A subshell in an atom has the value ...
... 3. Is it possible to have two electrons in an atom with the same n, l, and ml? 4. How many subshells are there in an atom in the level with a principal quantum number n=3? 5. What type of orbital in an atom is designated by quantum numbers n=4, l =3, and ml =0? 6. A subshell in an atom has the value ...
Physics 610: Quantum Optics
... Quantum Optics is a very rapidly developing field that has now become quite extensive. Over the last ten years, there have been several outstanding texts published. In October 1995, Leonard Mandel (now deceased) and Emil Wolf from the University of Rochester published a treatise that encompasses a v ...
... Quantum Optics is a very rapidly developing field that has now become quite extensive. Over the last ten years, there have been several outstanding texts published. In October 1995, Leonard Mandel (now deceased) and Emil Wolf from the University of Rochester published a treatise that encompasses a v ...
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.