Optimal parallel quantum query algorithms
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
Critical Study of The Structure and Interpretation of
... sketches his own position, but also amounts in some ways to a reply to a various of the papers in the collection. I will begin by discussing selection of the essays from C&M, all of which seem to me to raise issues that bear interestingly on Hughes's position. At that point, I will take up Hughes's ...
... sketches his own position, but also amounts in some ways to a reply to a various of the papers in the collection. I will begin by discussing selection of the essays from C&M, all of which seem to me to raise issues that bear interestingly on Hughes's position. At that point, I will take up Hughes's ...
Quantum Random Walk via Classical Random Walk With Internal
... work of Y. Aharonov et al. [5] provided the first basic model for subsequent various models of quantum random walks. D. Aharonov et al. [6] investigated quantum walks on graphs and their mixing behavior. They showed that, random quantum walks are not stationary processes. Thus, their mixing times a ...
... work of Y. Aharonov et al. [5] provided the first basic model for subsequent various models of quantum random walks. D. Aharonov et al. [6] investigated quantum walks on graphs and their mixing behavior. They showed that, random quantum walks are not stationary processes. Thus, their mixing times a ...
Unitary time evolution
... Quantum circuits There are infinitely many possible two-bit gates; but in practice such unitaries are difficult to do. Fortunately, it turns out that just the CNOT (or almost any other two-bit gate), together with one-bit gates, can be used to build up any unitary. (We will prove this later in the ...
... Quantum circuits There are infinitely many possible two-bit gates; but in practice such unitaries are difficult to do. Fortunately, it turns out that just the CNOT (or almost any other two-bit gate), together with one-bit gates, can be used to build up any unitary. (We will prove this later in the ...
Quantum dots
... At large occupation numbers and in weak magnetic fields many levels are involved, and the energy spectrum becomes very complicated. Is it any way to find universal properties avoiding concrete energy spectrum? The proper theory is referred to as quantized chaos. The classical system is called chaot ...
... At large occupation numbers and in weak magnetic fields many levels are involved, and the energy spectrum becomes very complicated. Is it any way to find universal properties avoiding concrete energy spectrum? The proper theory is referred to as quantized chaos. The classical system is called chaot ...
