| Paper Abstract and Keywords |
| Presentation |
2023-12-18 16:20
Rewindable quantum computation and its equivalence to cloning and adaptive postselection
Yuki Takeuchi (NTT), Ryo Hiromasa (Mitsubishi Electric Corp.), Akihiro Mizutani (Univ. of Toyama), Seiichiro Tani (NTT) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We define rewinding operators that invert quantum measurements.
Then, we define complexity classes ${¥sf RwBQP}$, ${¥sf CBQP}$, and ${¥sf AdPostBQP}$ as sets of decision problems solvable by polynomial-size quantum circuits with a polynomial number of rewinding operators, cloning operators, and adaptive postselections, respectively.
Our main result is that ${¥sf BPP}^{¥sf PP}¥subseteq{¥sf RwBQP}={¥sf CBQP}={¥sf AdPostBQP}¥subseteq{¥sf PSPACE}$.
As a byproduct of this result, we show that any problem in ${¥sf PostBQP}$ can be solved with only postselections of outputs whose probabilities are polynomially close to one.
Under the strongly believed assumption that ${¥sf BQP}¥nsupseteq{¥sf SZK}$, or the shortest independent vectors problem cannot be efficiently solved with quantum computers, we also show that a single rewinding operator is sufficient to achieve tasks that are intractable for quantum computation. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
quantum computation / postselection / lattice problems / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
| Paper # |
|
| Date of Issue |
|
| ISSN |
|
| Download PDF |
|
| Conference Information |
| Committee |
QIT |
| Conference Date |
2023-12-17 - 2023-12-19 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
OIST |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2023-12-QIT |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Rewindable quantum computation and its equivalence to cloning and adaptive postselection |
| Sub Title (in English) |
|
| Keyword(1) |
quantum computation |
| Keyword(2) |
postselection |
| Keyword(3) |
lattice problems |
| Keyword(4) |
|
| Keyword(5) |
|
| Keyword(6) |
|
| Keyword(7) |
|
| Keyword(8) |
|
| 1st Author's Name |
Yuki Takeuchi |
| 1st Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
| 2nd Author's Name |
Ryo Hiromasa |
| 2nd Author's Affiliation |
Mitsubishi Electric Corporation (Mitsubishi Electric Corp.) |
| 3rd Author's Name |
Akihiro Mizutani |
| 3rd Author's Affiliation |
University of Toyama (Univ. of Toyama) |
| 4th Author's Name |
Seiichiro Tani |
| 4th Author's Affiliation |
Nippon Telegraph and Telephone Corporation (NTT) |
| 5th Author's Name |
|
| 5th Author's Affiliation |
() |
| 6th Author's Name |
|
| 6th Author's Affiliation |
() |
| 7th Author's Name |
|
| 7th Author's Affiliation |
() |
| 8th Author's Name |
|
| 8th Author's Affiliation |
() |
| 9th Author's Name |
|
| 9th Author's Affiliation |
() |
| 10th Author's Name |
|
| 10th Author's Affiliation |
() |
| 11th Author's Name |
|
| 11th Author's Affiliation |
() |
| 12th Author's Name |
|
| 12th Author's Affiliation |
() |
| 13th Author's Name |
|
| 13th Author's Affiliation |
() |
| 14th Author's Name |
|
| 14th Author's Affiliation |
() |
| 15th Author's Name |
|
| 15th Author's Affiliation |
() |
| 16th Author's Name |
|
| 16th Author's Affiliation |
() |
| 17th Author's Name |
|
| 17th Author's Affiliation |
() |
| 18th Author's Name |
|
| 18th Author's Affiliation |
() |
| 19th Author's Name |
|
| 19th Author's Affiliation |
() |
| 20th Author's Name |
|
| 20th Author's Affiliation |
() |
| 21st Author's Name |
|
| 21st Author's Affiliation |
() |
| 22nd Author's Name |
|
| 22nd Author's Affiliation |
() |
| 23rd Author's Name |
|
| 23rd Author's Affiliation |
() |
| 24th Author's Name |
|
| 24th Author's Affiliation |
() |
| 25th Author's Name |
|
| 25th Author's Affiliation |
() |
| 26th Author's Name |
/ / |
| 26th Author's Affiliation |
()
() |
| 27th Author's Name |
/ / |
| 27th Author's Affiliation |
()
() |
| 28th Author's Name |
/ / |
| 28th Author's Affiliation |
()
() |
| 29th Author's Name |
/ / |
| 29th Author's Affiliation |
()
() |
| 30th Author's Name |
/ / |
| 30th Author's Affiliation |
()
() |
| 31st Author's Name |
/ / |
| 31st Author's Affiliation |
()
() |
| 32nd Author's Name |
/ / |
| 32nd Author's Affiliation |
()
() |
| 33rd Author's Name |
/ / |
| 33rd Author's Affiliation |
()
() |
| 34th Author's Name |
/ / |
| 34th Author's Affiliation |
()
() |
| 35th Author's Name |
/ / |
| 35th Author's Affiliation |
()
() |
| 36th Author's Name |
/ / |
| 36th Author's Affiliation |
()
() |
| Speaker |
Author-1 |
| Date Time |
2023-12-18 16:20:00 |
| Presentation Time |
15 minutes |
| Registration for |
QIT |
| Paper # |
|
| Volume (vol) |
vol. |
| Number (no) |
|
| Page |
|
| #Pages |
|
| Date of Issue |
|