Lecture 16: Quantum error correction Classical repetition codes
... where the encoding is with respect to the bit-flip code. He corrects any bit flips as before, and decodes each block to give a total of three qubits (the first in each block). Assuming at most one bit-flip occurred in each block, the remaining 6 qubits will have all returned to the state |0i, and ca ...
... where the encoding is with respect to the bit-flip code. He corrects any bit flips as before, and decodes each block to give a total of three qubits (the first in each block). Assuming at most one bit-flip occurred in each block, the remaining 6 qubits will have all returned to the state |0i, and ca ...
Pulsed field ionization of Rydberg atoms
... interference and tunneling, play a minor role in these measurements. It is the main purpose of this paper to directly compare fully quantum and classical trajectory Monte Carlo calculations to test the accuracy of the classical method. This will provide guidance as to what sort of accuracy needs to ...
... interference and tunneling, play a minor role in these measurements. It is the main purpose of this paper to directly compare fully quantum and classical trajectory Monte Carlo calculations to test the accuracy of the classical method. This will provide guidance as to what sort of accuracy needs to ...
Are there basic laws of quantum information processing?
... two ways we are in position to interpret the result of the previous section. The two equivalent statements 1 and 2′ are formulations of the same restriction for quantum information processing in terms of quantum real and virtual information respectively. Following the proof, one can see that the no- ...
... two ways we are in position to interpret the result of the previous section. The two equivalent statements 1 and 2′ are formulations of the same restriction for quantum information processing in terms of quantum real and virtual information respectively. Following the proof, one can see that the no- ...
Buletin Stiintific - UPB - Seria A - numar 3 - 2009
... insertion and return losses of optical fibers using nondestructive methods several experimental results are presented and analysed from metrology point of view in this paper. Using the Optical Transmission Method the attenuation of the optical power corresponding to an optical signal launched into t ...
... insertion and return losses of optical fibers using nondestructive methods several experimental results are presented and analysed from metrology point of view in this paper. Using the Optical Transmission Method the attenuation of the optical power corresponding to an optical signal launched into t ...
ppt - Harvard Condensed Matter Theory group
... Classical measurement: collapse of the wavefunction into eigenstates of x ...
... Classical measurement: collapse of the wavefunction into eigenstates of x ...
quantum mechanics from classical statistics
... density matrix for two quantum states hermitean 2x2 matrix : ...
... density matrix for two quantum states hermitean 2x2 matrix : ...
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... enforce causal gluing rules. Two simplices must be glued together to keep their arrows pointing in the same direction. The simplices must share a notion of Time which unfolds steadily in the direction of these arrows and never stands still or runs backward. Space keeps its overall form as Time advan ...
... enforce causal gluing rules. Two simplices must be glued together to keep their arrows pointing in the same direction. The simplices must share a notion of Time which unfolds steadily in the direction of these arrows and never stands still or runs backward. Space keeps its overall form as Time advan ...
PDF
... Linear optical quantum computation (LOQC) has recently attracted great interests following the demonstration [1] that a scalable quantum computer based on linear optical components is possible. It has also been known that linear optical systems could achieve non-scalable quantum computation by encod ...
... Linear optical quantum computation (LOQC) has recently attracted great interests following the demonstration [1] that a scalable quantum computer based on linear optical components is possible. It has also been known that linear optical systems could achieve non-scalable quantum computation by encod ...
Powerpoint 7/20
... The four Bell states can be turned into each other using operations on only one of the qubits: ...
... The four Bell states can be turned into each other using operations on only one of the qubits: ...
Here
... Proposition: T ∗ G/B, equipped with the canonical holomorphic symplectic form and the C∗ action dilating the cotangent fibers, is a symplectic resolution. Its affinization is X0 = N , the cone of nilpotent elements in g. For more details, see [2]. Many of the techniques we use below apply to a gener ...
... Proposition: T ∗ G/B, equipped with the canonical holomorphic symplectic form and the C∗ action dilating the cotangent fibers, is a symplectic resolution. Its affinization is X0 = N , the cone of nilpotent elements in g. For more details, see [2]. Many of the techniques we use below apply to a gener ...
PPT
... An important question: When should we expect to observe wave-like properties, and when should we expect particle-like properties? To help answer this question, let’s reconsider the 2-slit experiment. ...
... An important question: When should we expect to observe wave-like properties, and when should we expect particle-like properties? To help answer this question, let’s reconsider the 2-slit experiment. ...
Quantum approach - File 2 - College of Science | Oregon State
... Mathematical tools of crucial importance in quantum approach to thermal physics are the density operator op and the mixed state operator M. They are similar, but not identical. Dr. Wasserman in his text, when introducing quantum thermal physics, often “switches” from op to M or vice versa, and ...
... Mathematical tools of crucial importance in quantum approach to thermal physics are the density operator op and the mixed state operator M. They are similar, but not identical. Dr. Wasserman in his text, when introducing quantum thermal physics, often “switches” from op to M or vice versa, and ...
CHEMISTRY 120A FALL 2006
... ultra-violet regions of the spectrum), and then various laser-based pump-probe techniques for studying photo-dissociation and photo-chemistry in general. Quantum mechanical perturbation theory will be applied to Nuclear Magnetic Resonance (NMR) spectroscopy, showing how the characteristic multiplet ...
... ultra-violet regions of the spectrum), and then various laser-based pump-probe techniques for studying photo-dissociation and photo-chemistry in general. Quantum mechanical perturbation theory will be applied to Nuclear Magnetic Resonance (NMR) spectroscopy, showing how the characteristic multiplet ...
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.