Shor`s Algorithm and the Quantum Fourier Transform
... is, it cannot be done in a number of steps which is polynomial in the length of the integer we’re trying to factor1 . The RSA cryptosystem, among others, relies on the presumed difficulty of this task. Classically, the fastest known algorithm is the General Number Field Sieve (GNFS) algorithm, which ...
... is, it cannot be done in a number of steps which is polynomial in the length of the integer we’re trying to factor1 . The RSA cryptosystem, among others, relies on the presumed difficulty of this task. Classically, the fastest known algorithm is the General Number Field Sieve (GNFS) algorithm, which ...
Quantum Phase Transitions - Subir Sachdev
... Normally, we do this by raising temperature. The resulting phase transition between phases characterized by (1) and (2) is well understood, and described by the well-developed theory of classical phase transitions. This shall not be our interest here. Rather, we are interested in moving from magneti ...
... Normally, we do this by raising temperature. The resulting phase transition between phases characterized by (1) and (2) is well understood, and described by the well-developed theory of classical phase transitions. This shall not be our interest here. Rather, we are interested in moving from magneti ...
On the correspondence principle
... (of inductance L) enclosing a Josephson junction (with capacitance C). of the chaotic Duffing oscillator. The classical dynamics is described though the evolution of a phase space distribution function that is the solution to the Liouville equation. This is compared with the dynamics of the Wigner f ...
... (of inductance L) enclosing a Josephson junction (with capacitance C). of the chaotic Duffing oscillator. The classical dynamics is described though the evolution of a phase space distribution function that is the solution to the Liouville equation. This is compared with the dynamics of the Wigner f ...
Near-red emission from site-controlled pyramidal InGaN quantum dots
... ex is the temperature-dependent excitonic lifetime mentioned above. The constant C is containing the ratio ex / bar of the excitonic lifetime and the lifetime in the barrier, as well as the effective masses of the electrons and holes in the quantum well and barriers, respectively. EA represents t ...
... ex is the temperature-dependent excitonic lifetime mentioned above. The constant C is containing the ratio ex / bar of the excitonic lifetime and the lifetime in the barrier, as well as the effective masses of the electrons and holes in the quantum well and barriers, respectively. EA represents t ...
Towards Fully Quantum Mechanical 3D Device Simulations
... themselves contribute very little to the current. As a consequence, the local Fermi level is practically constant across the bound states which provides an aposteriory justification of invoking non-local quantum mechanics concurrently with the semi-classical concept of local Fermi levels. In fact, n ...
... themselves contribute very little to the current. As a consequence, the local Fermi level is practically constant across the bound states which provides an aposteriory justification of invoking non-local quantum mechanics concurrently with the semi-classical concept of local Fermi levels. In fact, n ...
What is reality? - Brian Whitworth
... The details are given elsewhere (Annex A), but both quantum theory and relativity require an observer, as a wave function must be observed to collapse and matter needs an observer frame of reference to move. One reality providing both the observer and the observed is all that is needed for our reali ...
... The details are given elsewhere (Annex A), but both quantum theory and relativity require an observer, as a wave function must be observed to collapse and matter needs an observer frame of reference to move. One reality providing both the observer and the observed is all that is needed for our reali ...
Nonparametric estimation of the purity of a quantum state in
... Quantum mechanics is a fundamental branch of theoretical physics, in the sense that it provides accurate and precise descriptions for many phenomena on the atomic and subatomic level. In the formalism of quantum mechanics, the state of a system at a given time is described by a complex wave function ...
... Quantum mechanics is a fundamental branch of theoretical physics, in the sense that it provides accurate and precise descriptions for many phenomena on the atomic and subatomic level. In the formalism of quantum mechanics, the state of a system at a given time is described by a complex wave function ...
PROBABILITIES FOR SINGLE EVENTS
... for renormalizing the probabilities so that the rules are exactly obeyed without changing their values in any relevent sense. II.1.2. Probabilities in Quantum Mechanics The characteristic feature of a quantum mechanical theory is that not every history that can be described can be assigned a probabi ...
... for renormalizing the probabilities so that the rules are exactly obeyed without changing their values in any relevent sense. II.1.2. Probabilities in Quantum Mechanics The characteristic feature of a quantum mechanical theory is that not every history that can be described can be assigned a probabi ...
TWO-STATE SYSTEMS
... A -meter) unless |a+ )—an eigenstate of A—is an eigenstate also of B (i.e., unless |a+ ) = |b+ ) else |b− )). In the former case b = + a : the B -meter is in reality a second A -meter and, even if the gate were removed, would always replicate the result yielded by the first A -meter: it is on those g ...
... A -meter) unless |a+ )—an eigenstate of A—is an eigenstate also of B (i.e., unless |a+ ) = |b+ ) else |b− )). In the former case b = + a : the B -meter is in reality a second A -meter and, even if the gate were removed, would always replicate the result yielded by the first A -meter: it is on those g ...
Why Quantum Computing? - Quantum Physics and Quantum
... “spin up” – the spin is parallel to the particle axis “spin down” – the spin is antiparallel to the particle ...
... “spin up” – the spin is parallel to the particle axis “spin down” – the spin is antiparallel to the particle ...