Colloquium: Multiparticle quantum superpositions and the quantum
... which in turn impose a constraint on the fidelity, i.e., the quantum efficiency, of the quantum measurements. For instance, the fact that an unknown qubit cannot be precisely determined (or reconstructed) by a measurement performed on a finite ensemble of identically prepared qubits implies that thi ...
... which in turn impose a constraint on the fidelity, i.e., the quantum efficiency, of the quantum measurements. For instance, the fact that an unknown qubit cannot be precisely determined (or reconstructed) by a measurement performed on a finite ensemble of identically prepared qubits implies that thi ...
Quantum imaging technologies
... with superpositions of other properties of a photon, such as its position, momentum, and orbital angular momentum. The no-cloning theorem, postulated by Wootters and Zurek in 1982 [1], states that one cannot create a perfect copy of an arbitrary quantum state. When applied to our metaphor of Schröd ...
... with superpositions of other properties of a photon, such as its position, momentum, and orbital angular momentum. The no-cloning theorem, postulated by Wootters and Zurek in 1982 [1], states that one cannot create a perfect copy of an arbitrary quantum state. When applied to our metaphor of Schröd ...
Design and fabrication of blazed binary diffractive - HAL
... The fabrication of blazed-index diffractive elements through a diffusion process or ion exchange as used for fabricating graded-index lenses or waveguides is difficult because the 2p-phase jumps required at zone extremities are smoothed by the fabrication process. Conversely, artificial dielectric d ...
... The fabrication of blazed-index diffractive elements through a diffusion process or ion exchange as used for fabricating graded-index lenses or waveguides is difficult because the 2p-phase jumps required at zone extremities are smoothed by the fabrication process. Conversely, artificial dielectric d ...
Quantum Money from Hidden Subspaces
... These early ideas about quantum money inspired the field of quantum cryptography [13]. But strangely, the subject of quantum money itself lay dormant for more than two decades, even as interest in quantum computing exploded. However, the past few years have witnessed a “quantum money renaissance.” ...
... These early ideas about quantum money inspired the field of quantum cryptography [13]. But strangely, the subject of quantum money itself lay dormant for more than two decades, even as interest in quantum computing exploded. However, the past few years have witnessed a “quantum money renaissance.” ...
Quantum Computing - Department of Computing
... (i) The probability P of a quantum event is given by the square |ψ|2 of the absolute value of a complex number ψ called the probability amplitude of the event. (ii) When an event can take place in n different ways, the probability amplitude is proportional to the sum or superposition of the probabil ...
... (i) The probability P of a quantum event is given by the square |ψ|2 of the absolute value of a complex number ψ called the probability amplitude of the event. (ii) When an event can take place in n different ways, the probability amplitude is proportional to the sum or superposition of the probabil ...
23 - Electronic Colloquium on Computational Complexity
... try hard to remain accessible to both audiences, while still getting as quickly as we can into current research topics. Readers who find some particular lecture too difficult or esoteric (or conversely, who already know the material) are invited to skip around. Roughly speaking, Lectures 1 and 2 hav ...
... try hard to remain accessible to both audiences, while still getting as quickly as we can into current research topics. Readers who find some particular lecture too difficult or esoteric (or conversely, who already know the material) are invited to skip around. Roughly speaking, Lectures 1 and 2 hav ...
Quantum Measurement Theory
... concept of one of the values it can take, are distinct. However, physicists tend to use the same symbol to denote both things, because it causes no confusion in practice. This is the style I prefer, so I will use it here. Secondly, we physicists often use the term “probability distribution” as synon ...
... concept of one of the values it can take, are distinct. However, physicists tend to use the same symbol to denote both things, because it causes no confusion in practice. This is the style I prefer, so I will use it here. Secondly, we physicists often use the term “probability distribution” as synon ...
Quantum Nonlinear Optics in Lossy Coupled-Cavities in Photonic Crystal Slabs
... photonic crystal slabs (PCSs) [12] offer optical cavities with both high quality factors (Q) and small mode volumes (V ) in an integrable fashion. The combination of the high Q and the small V is of great importance in many applications in integrated photonics. There are other optical microcavities ...
... photonic crystal slabs (PCSs) [12] offer optical cavities with both high quality factors (Q) and small mode volumes (V ) in an integrable fashion. The combination of the high Q and the small V is of great importance in many applications in integrated photonics. There are other optical microcavities ...
Delayed-choice gedanken experiments and their realizations
... there be a phase shift ϕ in the reflected arm a, additionally to a π2 shift due to the reflection. Then the quantum state of the system is a superposition of the two path states with in general complex amplitudes: |ψi = ...
... there be a phase shift ϕ in the reflected arm a, additionally to a π2 shift due to the reflection. Then the quantum state of the system is a superposition of the two path states with in general complex amplitudes: |ψi = ...
Photonic Lanterns
... as shown in Fig. 1(a). A more recent approach was demonstrated by Noordegraaf et al [4], where an all solid standard optical fibre splitter/combiner technique was used. A bundle of SMFs was inserted into a low index glass capillary tube which was then fused and tapered down to form an all solid MMF ...
... as shown in Fig. 1(a). A more recent approach was demonstrated by Noordegraaf et al [4], where an all solid standard optical fibre splitter/combiner technique was used. A bundle of SMFs was inserted into a low index glass capillary tube which was then fused and tapered down to form an all solid MMF ...
PHOTONIC ENTANGLEMENT: NEW SOURCES AND NEW APPLICATIONS JI ˇ R´
... the last few decades. In order to be used in many different applications, sources of entanglement should satisfy several requirements as a high efficiency, broad tunability and compactness, and the possibility of integration with other optical components. The most common sources of entangled fields ...
... the last few decades. In order to be used in many different applications, sources of entanglement should satisfy several requirements as a high efficiency, broad tunability and compactness, and the possibility of integration with other optical components. The most common sources of entangled fields ...
Quantum Physics
... If the polarization state is described by the unit vector % (3.12), then the transmission through the ( polarizer is 100%. On the other hand, the polarization state %⊥ = −∗ x + ∗ y ...
... If the polarization state is described by the unit vector % (3.12), then the transmission through the ( polarizer is 100%. On the other hand, the polarization state %⊥ = −∗ x + ∗ y ...
Quantum computing with photons: introduction to the circuit model
... analog was the Deutsch–Josza algorithm, which determines if a function is constant or balanced [2, 3]. While this algorithm has no direct application, it inspired the subsequent development of other algorithms like Shorʼs algorithm and Groverʼs algorithm which both provide a practical benefit. Shorʼs ...
... analog was the Deutsch–Josza algorithm, which determines if a function is constant or balanced [2, 3]. While this algorithm has no direct application, it inspired the subsequent development of other algorithms like Shorʼs algorithm and Groverʼs algorithm which both provide a practical benefit. Shorʼs ...
Quantum Proofs for Classical Theorems
... Of course, this requires at least some knowledge of quantum mechanics, which might appear discouraging to those without a physics background. However, the amount of quantum mechanics one needs is surprisingly small and easily explained in terms of basic linear algebra. The first thing we would like ...
... Of course, this requires at least some knowledge of quantum mechanics, which might appear discouraging to those without a physics background. However, the amount of quantum mechanics one needs is surprisingly small and easily explained in terms of basic linear algebra. The first thing we would like ...
Quantum-Secure Message Authentication Codes
... generally prove asymptotic bounds on the number of queries required to solve a problem with high probability. However, such asymptotic query complexity results are insufficient for our purposes — Theorem 1.1 shows that the problem of outputting q + 1 points when given q queries is intractable, ...
... generally prove asymptotic bounds on the number of queries required to solve a problem with high probability. However, such asymptotic query complexity results are insufficient for our purposes — Theorem 1.1 shows that the problem of outputting q + 1 points when given q queries is intractable, ...
