text stringlengths 0 8.13M |
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00 .. 89 00 ..1 89 |
00 .. 67 xk-15 0000 .... 4567 |
0.5 00..23 |
0000 .... 01234 0 . 01 |
9600t Qe Rac Cher 9800 10000 tim 10 e20 s0 tep 10400 10600 10800 11000 0 0.1 0.2 0.3 0 x.4 k 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.4 0.5 x0.6 k0. -7 60.8 0.9 1 |
(d) Hénon map |
1 1 |
0.9 0.9 |
0.8 0.8 |
0.7 0.7 |
0.6 0.6 |
00 .. 45 xk-1 00 .. 45 |
0.3 0.3 |
0.2 teacher 0.2 |
0.1 QRC 0.1 |
0 9600 9800 10000 10200 10400 10600 10800 11000 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 |
timestep xk |
1 |
0.9 |
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0.7 |
0.6 |
0.5 |
0.4 |
0.3 |
0.2 |
0.1 |
0 |
9900 9950 10000 10050 10100 |
timestep |
FIG.4. Demonstrationsofchaoticattractoremulations. (a)Lorenzattractor. (b)Mackey-Glasssystem. (c)Ro¨sslerattractor. |
(d) H´enon map. The dotted line shows the time step when the system is switched from teacher forced state to autonomous |
state. In the right side, delayed phase diagrams of learned dynamics are shown. |
V. CONCLUSION AND DISCUSSION stand the power of a quantum enhanced feature space. |
ACKNOWLEDGEMENT |
Here we reviewed quantum reservoir computing and |
related approaches, quantum extreme learning machine |
and quantum circuit learning. The idea of quantum KF is supported by KAKENHI No.16H02211, JST |
reservoir computing comes from the spirit of reservoir PRESTO JPMJPR1668, JST ERATO JPMJER1601, |
computing, i.e., outsourcing information processing to andJSTCRESTJPMJCR1673. KNissupportedbyJST |
natural physical systems. This idea is best suited to PRESTOGrantNumberJPMJPR15E7,Japan,byJSPS |
quantum machine learning on near-term quantum de- KAKENHI Grant Numbers JP18H05472, JP16KT0019, |
vices in NISQ (noisy intermediate quantum) era. Since and JP15K16076. KN would like to acknowledge Dr. |
reservoir computing uses complex physical systems as a Quoc Hoan Tran for his helpful comments. This work is |
feature space to construct a model by the simple linear supported by MEXT Quantum Leap Flagship Program |
regression, this approach would be a good way to under- (MEXT Q-LEAP) Grant No. JPMXS0118067394. |
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