Quantum noise properties of multiphoton transitions in driven nonlinear resonators
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
Computational Complexity: A Modern Approach
... Very little physics is needed to understand the central results of quantum computing. One basic fact is that the physical parameters (energy, momentum, spin etc.) of an elementary particle such as an electron are quantized and can only take values in a discrete set. Second, contrary to our basic int ...
... Very little physics is needed to understand the central results of quantum computing. One basic fact is that the physical parameters (energy, momentum, spin etc.) of an elementary particle such as an electron are quantized and can only take values in a discrete set. Second, contrary to our basic int ...
Entanglement and its Role in Shor`s Algorithm
... that, if a quantum algorithm cannot be simulated classically using resources only polynomial in the size of the input data, then it must have multipartite entanglement involving unboundedly many of its qubits – if it is run on a quantum computer using pure quantum states. However, the presence of mu ...
... that, if a quantum algorithm cannot be simulated classically using resources only polynomial in the size of the input data, then it must have multipartite entanglement involving unboundedly many of its qubits – if it is run on a quantum computer using pure quantum states. However, the presence of mu ...
Application of Quantum Computing principles to Natural Language Processing
... one state to another is achieved by using a pulse of energy, such as from a laser let’s say that we use 1 unit of laser energy. But what if we only use half a unit of laser energy and completely isolate the particle from all external influences? According to quantum law, the particle then enters a s ...
... one state to another is achieved by using a pulse of energy, such as from a laser let’s say that we use 1 unit of laser energy. But what if we only use half a unit of laser energy and completely isolate the particle from all external influences? According to quantum law, the particle then enters a s ...
Guidance Applied to Quantum Operations in Josephson
... 2e/C. For the purposes of this paper, we limit the variation available in each control as indicated. We do this for practical reasons. For example, if the voltage bias becomes too large, then we will begin to excite higher excited states, leading to leakage errors and so the voltage bias must be lim ...
... 2e/C. For the purposes of this paper, we limit the variation available in each control as indicated. We do this for practical reasons. For example, if the voltage bias becomes too large, then we will begin to excite higher excited states, leading to leakage errors and so the voltage bias must be lim ...
Probabilistic quantum metrology Bernat Gendra Casalí
... then it is clear that protocol that provides heralded outcomes might be very interesting to her. Classically this seems a mere characterisation problem, where different figures of merit describe different aspects of a protocol; and in practice the issue is rapidly solved if a complete characterisati ...
... then it is clear that protocol that provides heralded outcomes might be very interesting to her. Classically this seems a mere characterisation problem, where different figures of merit describe different aspects of a protocol; and in practice the issue is rapidly solved if a complete characterisati ...
Quantization as a Kan extension
... functions to “bundles of numbers” (namely fibered categories, or, dually, refining (action) functors to pseudofunctors) and it involves refining linear maps by spans of groupoids. In this natural formulation, quantization will no longer be a mystery – but a pushforward: the quantum propagator (t 7→ ...
... functions to “bundles of numbers” (namely fibered categories, or, dually, refining (action) functors to pseudofunctors) and it involves refining linear maps by spans of groupoids. In this natural formulation, quantization will no longer be a mystery – but a pushforward: the quantum propagator (t 7→ ...
POLYNOMIAL-TIME ALGORITHMS FOR PRIME FACTORIZATION
... Because of the remarkable e ectiveness of our mathematical models of computation, computer scientists have tended to forget that computation is dependent on the laws of physics. This can be seen in the statement of the quantitative Church's thesis in van Emde Boas [1990], where the word \physical" i ...
... Because of the remarkable e ectiveness of our mathematical models of computation, computer scientists have tended to forget that computation is dependent on the laws of physics. This can be seen in the statement of the quantitative Church's thesis in van Emde Boas [1990], where the word \physical" i ...
Switching via quantum activation: A parametrically modulated oscillator 兲
... albeit with different probabilities W↓ and W↑. This effect has quantum origin. It is due to the functions ⑀ being superpositions of the eigenfunctions 兩N典 of the energy operator of the system in the absence of modulation. Therefore bath-induced transitions down in energy 兩N典 → 兩N − 1典 lead to trans ...
... albeit with different probabilities W↓ and W↑. This effect has quantum origin. It is due to the functions ⑀ being superpositions of the eigenfunctions 兩N典 of the energy operator of the system in the absence of modulation. Therefore bath-induced transitions down in energy 兩N典 → 兩N − 1典 lead to trans ...
Braid Topologies for Quantum Computation
... Hilbert space is thirteen dimensional. The elementary braid matrices acting on this space are again block diagonal, with 5×5 (total q-spin 0) and 8×8 (total q-spin 1) blocks. It is known that braiding these six quasiparticles generates a set of unitary operations which is dense in the space of all s ...
... Hilbert space is thirteen dimensional. The elementary braid matrices acting on this space are again block diagonal, with 5×5 (total q-spin 0) and 8×8 (total q-spin 1) blocks. It is known that braiding these six quasiparticles generates a set of unitary operations which is dense in the space of all s ...