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The Quantum IO Monad - School of Computer Science
... • we can exploit the existing support for Haskell, in the form of tools and libraries to develop our quantum programs. We believe that a purely functional approach is ideally suited for this venture, since it already makes effects explicit (in Haskell via the IO monad) and is close to a mathematical ...
... • we can exploit the existing support for Haskell, in the form of tools and libraries to develop our quantum programs. We believe that a purely functional approach is ideally suited for this venture, since it already makes effects explicit (in Haskell via the IO monad) and is close to a mathematical ...
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... lengths of standard telecommunication optical fiber—the signal photons proceeding down one fiber and the idler photons down the other—to a pair of quantum memories comprised of 87 Rb atoms that are trapped inside high-Q optical cavities [9]. One of these memories belongs to Alice and the other to Bo ...
... lengths of standard telecommunication optical fiber—the signal photons proceeding down one fiber and the idler photons down the other—to a pair of quantum memories comprised of 87 Rb atoms that are trapped inside high-Q optical cavities [9]. One of these memories belongs to Alice and the other to Bo ...
Single-Photon Bus between Spin-Wave Quantum Memories.
... mode by means of quantum interference (adiabatic dark-state transfer)24–26 . Successful transfer is verified by subsequent ondemand superradiant conversion of the magnon now stored in B into a photon. Partial transfer of the magnon creates a superposition state, where the two macro-atoms share a sin ...
... mode by means of quantum interference (adiabatic dark-state transfer)24–26 . Successful transfer is verified by subsequent ondemand superradiant conversion of the magnon now stored in B into a photon. Partial transfer of the magnon creates a superposition state, where the two macro-atoms share a sin ...
Quantum Criticality - Subir Sachdev
... so the ground state is, actually, always like Eq. (2). However, for large N , the tunneling amplitude between | ⇑i and | ⇓i becomes exponentially small in N , because it is the product of the tunneling amplitude of all N spins. Thus, in the thermodynamic limit, the tunneling amplitude is strictly ze ...
... so the ground state is, actually, always like Eq. (2). However, for large N , the tunneling amplitude between | ⇑i and | ⇓i becomes exponentially small in N , because it is the product of the tunneling amplitude of all N spins. Thus, in the thermodynamic limit, the tunneling amplitude is strictly ze ...
Interference with correlated photons: Five quantum mechanics
... poster-board walls. The down-conversion photons enter the detector boxes through windows covered by red filters. The protective boxes allowed us to illuminate the work area with low-level illumination from blue LEDs. Each avalanche photodiode had a short focal length lens 共40–100 mm兲 to focus the li ...
... poster-board walls. The down-conversion photons enter the detector boxes through windows covered by red filters. The protective boxes allowed us to illuminate the work area with low-level illumination from blue LEDs. Each avalanche photodiode had a short focal length lens 共40–100 mm兲 to focus the li ...
Revealing novel quantum phases in quantum antiferromagnets on
... well-known limit of the two-dimensional quantum Heisenberg antiferromagnet (2DQHAF). In this section we will consider the case of zero applied magnetic field H, while the effects of a finite field will be accounted for in the next section. In the clean limit, the 2DQHAF is well known to support long ...
... well-known limit of the two-dimensional quantum Heisenberg antiferromagnet (2DQHAF). In this section we will consider the case of zero applied magnetic field H, while the effects of a finite field will be accounted for in the next section. In the clean limit, the 2DQHAF is well known to support long ...
Electronic Structure of Strained GaSb/GaAs Quantum Dot
... quantum dots. There are three empirical models, the k.p approximation [9], the pseudopotential model [10] and the tight-binding model [11], [12]. The k.p approximation treats a quantum dot as a confined bulk and continuum system, while the pseudopotential and tight-binding models treat the system wi ...
... quantum dots. There are three empirical models, the k.p approximation [9], the pseudopotential model [10] and the tight-binding model [11], [12]. The k.p approximation treats a quantum dot as a confined bulk and continuum system, while the pseudopotential and tight-binding models treat the system wi ...
On the foundations of the theory of evolution
... ‘the bullet didn’t pass the plate’. If however, the particle arrives at the plate at the spot (x0,y0) where the slit is located, it will pass the plate without any problem, yielding a positive result for the ‘plate-test’, i.e. ‘the bullet did pass the plate via the slit at point (x0,y0)’. Next, a se ...
... ‘the bullet didn’t pass the plate’. If however, the particle arrives at the plate at the spot (x0,y0) where the slit is located, it will pass the plate without any problem, yielding a positive result for the ‘plate-test’, i.e. ‘the bullet did pass the plate via the slit at point (x0,y0)’. Next, a se ...
On Quantum Sieve Approaches to the Lattice
... volume of Br divided by the volume of a smaller such ball. This gives the desired expression. Then we want to find an r = O(sh(L)). This value can be guessed, precisely because of the LLL-reduction algorithm. To see this, note that is is sufficient to find an r such that sh(L) ≤ r ≤ 2 ∗ sh(L). Then for ...
... volume of Br divided by the volume of a smaller such ball. This gives the desired expression. Then we want to find an r = O(sh(L)). This value can be guessed, precisely because of the LLL-reduction algorithm. To see this, note that is is sufficient to find an r such that sh(L) ≤ r ≤ 2 ∗ sh(L). Then for ...
A Brief Survey Of Quantum Programming Languages
... some global state. These languages can be directly compiled onto (or interpreted in) the QRAM virtual hardware model. Quantum states in this paradigm are typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are ...
... some global state. These languages can be directly compiled onto (or interpreted in) the QRAM virtual hardware model. Quantum states in this paradigm are typically realized as arrays of qubits, and run-time checks are needed to detect certain error conditions. For instance, out-of-bounds checks are ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.