Tight bounds on quantum searching
... (recall that we assumed t ≤ 3N/4). We shall estimate the expected number of times that a Grover iteration is performed: the total time needed is clearly in the order of that number. On the s–th time round the main loop, the value of m is λs−1 and the expected number of Grover iterations is less than ...
... (recall that we assumed t ≤ 3N/4). We shall estimate the expected number of times that a Grover iteration is performed: the total time needed is clearly in the order of that number. On the s–th time round the main loop, the value of m is λs−1 and the expected number of Grover iterations is less than ...
Nature template - PC Word 97
... theoretical studies of high-order cumulants mentioned previously,13-17 no systematic explanation of the origin of these oscillations has been proposed. Here, we point out the universal character of the oscillations of high-order cumulants and develop the underlying theory. The following analysis app ...
... theoretical studies of high-order cumulants mentioned previously,13-17 no systematic explanation of the origin of these oscillations has been proposed. Here, we point out the universal character of the oscillations of high-order cumulants and develop the underlying theory. The following analysis app ...
Effective Quantum Spin Systems with Trapped Ions
... setup has the additional advantage that the hexagonal lattice could allow one to simulate the effect of magnetic frustration. For example, a pushing laser in the direction perpendicular to the 2D crystal would induce an antiferromagnetic Ising interaction. The decay would also be dipolar if the 2D v ...
... setup has the additional advantage that the hexagonal lattice could allow one to simulate the effect of magnetic frustration. For example, a pushing laser in the direction perpendicular to the 2D crystal would induce an antiferromagnetic Ising interaction. The decay would also be dipolar if the 2D v ...
Colloidal Core/Shell quantum dots in our lab
... Applications Colloidal QDs have been synthesized successfully for about ten years, but their optoelectronic application has not been commercially realized yet. In the following, Quantum-confined Stark effect (QCSE), which can be used in Optoelectronic modulators, is as an example. ...
... Applications Colloidal QDs have been synthesized successfully for about ten years, but their optoelectronic application has not been commercially realized yet. In the following, Quantum-confined Stark effect (QCSE), which can be used in Optoelectronic modulators, is as an example. ...
Security of Quantum Bit String Commitment Depends on the
... reasoning also holds in an approximate sense [9], here used in the following form. Lemma 2.—Let 0 ; 1 and assume that the bitcommitment protocol is error-free if both parties are honest. Then there is a method for Alice to cheat such that the probability of successfully revealing a 0 given ...
... reasoning also holds in an approximate sense [9], here used in the following form. Lemma 2.—Let 0 ; 1 and assume that the bitcommitment protocol is error-free if both parties are honest. Then there is a method for Alice to cheat such that the probability of successfully revealing a 0 given ...
The Liar-paradox in a Quantum Mechanical Perspective
... the interaction profile. The exhaustive description being practically impossible, an idealized state description can only be obtained for the overall state. We mention however that this problem appears in an analogous way in physics, where in each model also only an idealized state description is ob ...
... the interaction profile. The exhaustive description being practically impossible, an idealized state description can only be obtained for the overall state. We mention however that this problem appears in an analogous way in physics, where in each model also only an idealized state description is ob ...
Spinless composite fermions in an ultrahigh
... Since its discovery in two-dimensional electron gas hosted in GaAs/AlGaAs more than three decades ago [1], the fractional quantum Hall (FQH) effect has been realized only in a select few semiconductor materials [2–7], graphene [8,9], and an oxide [10]. The FQH effect can be conveniently viewed as an ...
... Since its discovery in two-dimensional electron gas hosted in GaAs/AlGaAs more than three decades ago [1], the fractional quantum Hall (FQH) effect has been realized only in a select few semiconductor materials [2–7], graphene [8,9], and an oxide [10]. The FQH effect can be conveniently viewed as an ...
Experimental verification of the Heisenberg uncertainty principle for
... is also an important factor for practical purposes: for example, it is applied for the preparation of transverse coherence in all experiments using collimated beams, a fact that can be mathematically phrased using the van Cittert-Zernike theorem 关5–7兴. There are good reasons to believe that compleme ...
... is also an important factor for practical purposes: for example, it is applied for the preparation of transverse coherence in all experiments using collimated beams, a fact that can be mathematically phrased using the van Cittert-Zernike theorem 关5–7兴. There are good reasons to believe that compleme ...
Abstract Experiments demonstrating entanglement swapping have
... Encyclopedia article on the topic, Berkovitz defines action at a distance as: a phenomenon in which a change in intrinsic properties of one system induces a change in the intrinsic properties of a distant system without there being a process that carries this influence contiguously in space and tim ...
... Encyclopedia article on the topic, Berkovitz defines action at a distance as: a phenomenon in which a change in intrinsic properties of one system induces a change in the intrinsic properties of a distant system without there being a process that carries this influence contiguously in space and tim ...
Probabilistic interpretation of resonant states
... The phenomenon of resonance has been of great importance in elementaryparticle physics and nuclear physics [3–28]. In recent years, unstable nuclei, which are nothing but resonant states, are experimentally sought after (see e.g., refs [29,30]). It has also been realized in condensed matter physics ...
... The phenomenon of resonance has been of great importance in elementaryparticle physics and nuclear physics [3–28]. In recent years, unstable nuclei, which are nothing but resonant states, are experimentally sought after (see e.g., refs [29,30]). It has also been realized in condensed matter physics ...
Minimal normal measurement models of quantum instruments
... In addition, the work presented here has also applications in problems associated with optimizing the ‘Church of a Larger Hilbert Space” in sense of minimality. For instance, in the field of open quantum systems our results may be used to solve a minimal environment in which a composite system evolu ...
... In addition, the work presented here has also applications in problems associated with optimizing the ‘Church of a Larger Hilbert Space” in sense of minimality. For instance, in the field of open quantum systems our results may be used to solve a minimal environment in which a composite system evolu ...
history of quantum computing
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
... standard, or “classical” physics, such as: 1. Superposition. If a system can be in state A or state B, it can also be in a “mixture” of the two states. If we measure it, we see either A or B, probabilistically. 2. Collapse. Any further measurements will give the same result. 3. Entanglement. There e ...
Maximally entangling tripartite protocols for Josephson phase qubits *
... protocols suitable for generating maximally entangled quantum states in tripartite systems with pairwise coupling g!XX + YY" + g̃ZZ. We base our approach on the idea that implementing symmetric states may conveniently be done by symmetrical control of all the qubits in the system. This bears a resem ...
... protocols suitable for generating maximally entangled quantum states in tripartite systems with pairwise coupling g!XX + YY" + g̃ZZ. We base our approach on the idea that implementing symmetric states may conveniently be done by symmetrical control of all the qubits in the system. This bears a resem ...
Exponential Decay of Matrix $\Phi $
... transition rates p from state 0 to 1 and (1 − p) from 1 to 0 (so-called Markovian jump process). In this example, we can explicitly calculate the convergence rate of the Markovian jump process (Theorem 16 and 18) by exploiting the matrix Efron-Stein inequality [13]. (4) We introduce a random walk of ...
... transition rates p from state 0 to 1 and (1 − p) from 1 to 0 (so-called Markovian jump process). In this example, we can explicitly calculate the convergence rate of the Markovian jump process (Theorem 16 and 18) by exploiting the matrix Efron-Stein inequality [13]. (4) We introduce a random walk of ...
Technical Roadmap for Fault-Tolerant Quantum Computing
... the subject of quantum computing is complex, therefore, there is need for a detailed roadmap in order to clarify its technical development and potential applications. Such a roadmap will help them to understand the status of this technology and make relevant business decisions. This technical roadma ...
... the subject of quantum computing is complex, therefore, there is need for a detailed roadmap in order to clarify its technical development and potential applications. Such a roadmap will help them to understand the status of this technology and make relevant business decisions. This technical roadma ...
(Quantumness in the context of) Resource Theories
... interested in finding out what is possible given some resources or some class of operations. We explore the scope of physical law by asking what tasks the theory allows us to perform. We place some restriction, or enlarge the types of operations one can perform, and ask what is possible. We can even ...
... interested in finding out what is possible given some resources or some class of operations. We explore the scope of physical law by asking what tasks the theory allows us to perform. We place some restriction, or enlarge the types of operations one can perform, and ask what is possible. We can even ...
Chapter 6 Quantum Computation
... if we are offered a factor of x, we can easily check its validity. But it is also in co-NP , because it is known that if we are given a prime number then (at least in principle), we can efficiently verify its primality. Thus, if someone tells us the prime factors of x, we can efficiently check that ...
... if we are offered a factor of x, we can easily check its validity. But it is also in co-NP , because it is known that if we are given a prime number then (at least in principle), we can efficiently verify its primality. Thus, if someone tells us the prime factors of x, we can efficiently check that ...