Quantum eraser
... emitted by this atom. The direct result of this state vector is the destruction of the interference pattern. In order to understand this, let’s use a relative states notation. First we will look at the two level atoms system state vector: |b, b, γ1 i + |b, b, γ2 i = (|γ1 i + |γ2 i) ⊗ |b, bi −→ (|ψ1 ...
... emitted by this atom. The direct result of this state vector is the destruction of the interference pattern. In order to understand this, let’s use a relative states notation. First we will look at the two level atoms system state vector: |b, b, γ1 i + |b, b, γ2 i = (|γ1 i + |γ2 i) ⊗ |b, bi −→ (|ψ1 ...
Good and Evil at the Planck Scale
... I should study how anesthesia works. It’s a tangible physical process acting on an otherwise unmeasurable phenomenon, and the mechanism was, and still is, largely unknown. Anesthesia is tricky and subtle. The right amount of anesthesia erases consciousness while other brain functions continue. The g ...
... I should study how anesthesia works. It’s a tangible physical process acting on an otherwise unmeasurable phenomenon, and the mechanism was, and still is, largely unknown. Anesthesia is tricky and subtle. The right amount of anesthesia erases consciousness while other brain functions continue. The g ...
Powerpoint format
... 1. Pick random x < N. 2. Compute f = gcd(x,N); if f l, return f // f is a factor 3. Find the least r > 0 such that xr 1 (mod N). 4. Compute f1 = gcd(xr/2 – 1,N) ); if f1 l, return f1 // f1 is a factor 5. Compute f2 = gcd(xr/2 + 1,N); if f2 l, return f2 // f2 is a factor 6. Go to 1 and repeat ...
... 1. Pick random x < N. 2. Compute f = gcd(x,N); if f l, return f // f is a factor 3. Find the least r > 0 such that xr 1 (mod N). 4. Compute f1 = gcd(xr/2 – 1,N) ); if f1 l, return f1 // f1 is a factor 5. Compute f2 = gcd(xr/2 + 1,N); if f2 l, return f2 // f2 is a factor 6. Go to 1 and repeat ...
PPT
... be used to construct pretty good quantum codes For any noise rate below some constant, the codes have: finite rate (message expansion by a constant factor, r to cr) error probability approaching zero as r ...
... be used to construct pretty good quantum codes For any noise rate below some constant, the codes have: finite rate (message expansion by a constant factor, r to cr) error probability approaching zero as r ...
Superconductivity Dome around a Quantum Critical Point
... Superconductivity Dome around a Quantum Critical Point The interplay between ordered states and the superconductivity that develops when they are destabilized is central in the understanding of subjects as diverse as high temperature superconductors and quantum chromodynamics. In the case of the Hea ...
... Superconductivity Dome around a Quantum Critical Point The interplay between ordered states and the superconductivity that develops when they are destabilized is central in the understanding of subjects as diverse as high temperature superconductors and quantum chromodynamics. In the case of the Hea ...
slides - p-ADICS.2015
... p-Adic string theory was defined (Volovich, Freund, Olson (1987); Witten at al (1987,1988)) replacing integrals over R (in the expressions for various amplitudes in ordinary bosonic open string theory) by integrals over Q p , with appropriate measure, and standard norms by the p-adic one. ...
... p-Adic string theory was defined (Volovich, Freund, Olson (1987); Witten at al (1987,1988)) replacing integrals over R (in the expressions for various amplitudes in ordinary bosonic open string theory) by integrals over Q p , with appropriate measure, and standard norms by the p-adic one. ...
Topological Quantum Matter
... probability is always positive, while the quantum amplitude can be positive, negative or complex giving rise to interference ...
... probability is always positive, while the quantum amplitude can be positive, negative or complex giving rise to interference ...
PDF
... In this technique, the phase variation of an oscillator is first mapped by Alice (keeper of the first clock) to the wave-functions of an array of atoms, via the use of the Bloch-Siegert oscillation, which results from an interference between the co- and counter-rotating parts of a two-level excitati ...
... In this technique, the phase variation of an oscillator is first mapped by Alice (keeper of the first clock) to the wave-functions of an array of atoms, via the use of the Bloch-Siegert oscillation, which results from an interference between the co- and counter-rotating parts of a two-level excitati ...
proper_time_Bhubanes.. - Institute of Physics, Bhubaneswar
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
proper_time_Bhubanes.. - Institute of Physics, Bhubaneswar
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
Photon localizability - Current research interest: photon position
... there is not a basis of localized eigenvectors. However, we have recently published papers where it is demonstrated that a family of position operators exists. Since a sum over all k’s is required, we need to define 2 transverse directions for each k. One choice is the spherical polar unit vectors i ...
... there is not a basis of localized eigenvectors. However, we have recently published papers where it is demonstrated that a family of position operators exists. Since a sum over all k’s is required, we need to define 2 transverse directions for each k. One choice is the spherical polar unit vectors i ...
Second Order Refinements for the Classical Capacity of Quantum
... order analysis by the present authors [22] that covered only discrete c-q channels. (We also take note of an alternative proof of second order achievability by Beigi and Gohari [3].) The model treated here is strictly more general in that it allows to encode into arbitrary separable states and does ...
... order analysis by the present authors [22] that covered only discrete c-q channels. (We also take note of an alternative proof of second order achievability by Beigi and Gohari [3].) The model treated here is strictly more general in that it allows to encode into arbitrary separable states and does ...
ppt
... This is a typical situation studied in QG phenomenology with purely higher order LIV characterized by different coefficients of LIV are particle dependent (no universality) ...
... This is a typical situation studied in QG phenomenology with purely higher order LIV characterized by different coefficients of LIV are particle dependent (no universality) ...
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.