uniform quantum
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Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 587
Author(s):  
Srinivasan Arunachalam ◽  
Sourav Chakraborty ◽  
Troy Lee ◽  
Manaswi Paraashar ◽  
Ronald de Wolf

We present two new results about exact learning by quantum computers. First, we show how to exactly learn a k-Fourier-sparse n-bit Boolean function from O(k1.5(log⁡k)2) uniform quantum examples for that function. This improves over the bound of Θ~(kn) uniformly random classical examples (Haviv and Regev, CCC'15). Additionally, we provide a possible direction to improve our O~(k1.5) upper bound by proving an improvement of Chang's lemma for k-Fourier-sparse Boolean functions. Second, we show that if a concept class C can be exactly learned using Q quantum membership queries, then it can also be learned using O(Q2log⁡Qlog⁡|C|)classical membership queries. This improves the previous-best simulation result (Servedio and Gortler, SICOMP'04) by a log⁡Q-factor.


2021 ◽  
Vol 104 (3) ◽  
Author(s):  
Fei Shi ◽  
Mao-Sheng Li ◽  
Lin Chen ◽  
Xiande Zhang

Author(s):  
Fereshte Mozafari ◽  
Heinz Riener ◽  
Mathias Soeken ◽  
Giovanni De Micheli

2020 ◽  
Vol 51 (1) ◽  
pp. 1755-1757
Author(s):  
Zhiping Hu ◽  
Yongwei Wu ◽  
Bo He ◽  
Yongming Yin ◽  
Wenxiang Peng ◽  
...  

Nanoscale ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 2103-2110 ◽  
Author(s):  
Zhiping Hu ◽  
Yongming Yin ◽  
Muhammad Umair Ali ◽  
Wenxiang Peng ◽  
Shijie Zhang ◽  
...  

We proposed a new full-color display framework QD-OLEDs, where blue OLEDs are used as pump light, and red and green QDs are printed on color filters as color conversion layers.


2018 ◽  
Vol 16 (08) ◽  
pp. 1840006 ◽  
Author(s):  
Davide Ferrari ◽  
Michele Amoretti

Quantum compiling means fast, device-aware implementation of quantum algorithms (i.e. quantum circuits, in the quantum circuit model of computation). In this paper, we present a strategy for compiling IBM Q-aware, low-depth quantum circuits that generate Greenberger–Horne–Zeilinger (GHZ) entangled states. The resulting compiler can replace the QISKit compiler for the specific purpose of obtaining improved GHZ circuits. It is well known that GHZ states have several practical applications, including quantum machine learning. We illustrate our experience in implementing and querying a uniform quantum example oracle based on the GHZ circuit, for solving the classically hard problem of learning parity with noise.


2018 ◽  
Vol 382 (39) ◽  
pp. 2868-2875 ◽  
Author(s):  
Zhonghui Xu ◽  
Weishuai Lv ◽  
Mansoor B.A. Jalil ◽  
Jinsong Huang ◽  
Yangwan Zhong ◽  
...  

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