Quantum Physics

All posts under tag "Quantum Physics"

10 posts total
Sorted by date
Quantum Private Information Retrieval with Sublinear Communication Complexity

Quantum Private Information Retrieval with Sublinear Communication Complexity

๋ณธ ๋…ผ๋ฌธ์€ ์–‘์ž ๊ฐœ์ธ ์ •๋ณด ๊ฒ€์ƒ‰ ํ”„๋กœํ† ์ฝœ ์— ๋Œ€ํ•œ ์‹ฌ๋„ ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ์„œ๋ฒ„๋กœ๋ถ€ํ„ฐ ๋ฐ์ดํ„ฐ๋ฒ ์ด์Šค ํ•ญ๋ชฉ์„ ๋น„๊ณต๊ฐœ๋กœ ๊ฒ€์ƒ‰ํ•˜๋Š” ๋ฐฉ๋ฒ•์œผ๋กœ, Chor, Kushilevitz, Goldreich ๋ฐ Sudan์˜ ์—ฐ๊ตฌ์—์„œ ์‹œ์ž‘๋œ ๋ถ„์•ผ์ž…๋‹ˆ๋‹ค. ๋ณธ ๋…ผ๋ฌธ์€ ๊ณต๊ฐœ ๋ฐ์ดํ„ฐ๋ฒ ์ด์Šค๊ฐ€ ๋ณดํŽธํ™”๋จ์— ๋”ฐ๋ผ ๋”์šฑ ์ค‘์š”ํ•ด์ง„ ์ด ์ฃผ์ œ๋ฅผ ๋‹ค๋ฃน๋‹ˆ๋‹ค. 1. ๊ฐœ์ธ ์ •๋ณด ๊ฒ€์ƒ‰ ํ”„๋กœํ† ์ฝœ์˜ ๋ฐฐ๊ฒฝ ๋ณธ ๋…ผ๋ฌธ์€ Chor, Kushilevitz, Goldreich ๋ฐ Sudan์˜ ์—ฐ๊ตฌ์—์„œ ์‹œ์ž‘๋œ ๊ฐœ์ธ ์ •๋ณด ๊ฒ€์ƒ‰ ๋ถ„์•ผ๋ฅผ ์†Œ๊ฐœํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ์„œ๋ฒ„๋กœ๋ถ€ํ„ฐ ๋ฐ์ดํ„ฐ๋ฒ ์ด์Šค ํ•ญ๋ชฉ์„ ๋น„๊ณต๊ฐœ๋กœ

Computational Complexity Quantum Physics Computer Science Cryptography and Security
No-go theorems for functorial localic spectra of noncommutative rings

No-go theorems for functorial localic spectra of noncommutative rings

๋ณธ ๋…ผ๋ฌธ์€ ๋น„์ปค๋ฎค๋‹ˆํ‹ฐ๋ธŒ C ๋Œ€์ˆ˜์— ๋Œ€ํ•œ ๊ฒ”ํŒ๋“œ ์ŠคํŽ™ํŠธ๋Ÿผ์˜ ์ผ๋ฐ˜ํ™”๋ฅผ ์‹œ๋„ํ•˜๋Š” ๋ฐ ์žˆ์–ด ์ค‘์š”ํ•œ ์ œํ•œ์  ๊ฒฐ๊ณผ๋ฅผ ์ œ๊ณตํ•œ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ํŠนํžˆ ํ–‰๋ ฌ ๋Œ€์ˆ˜ M n(C) (n โ‰ฅ 3)์—์„œ ์ž๋ช…ํ•œ ๋กœ์ปฌ์„ ์ƒ์„ฑํ•œ๋‹ค๋Š” ์ ์—์„œ, ์ „ํ†ต์ ์ธ ํ† ํฌ์Šค ๊ฐœ๋…์ด ๋น„์ปค๋ฎค๋‹ˆํ‹ฐ๋ธŒ C ๋Œ€์ˆ˜์— ๋Œ€ํ•œ ์ข‹์€ ์ŠคํŽ™ํŠธ๋Ÿผ ๊ฐœ๋…์„ ํฌ์šฉํ•˜๋Š” ๋ฐ ๋ถ€์ ์ ˆํ•จ์„ ๊ฐ•๋ ฅํ•˜๊ฒŒ ๋ณด์—ฌ์ค€๋‹ค. 1. ๋ ˆ์˜ˆ์Šค ์ •๋ฆฌ์˜ ํ™•์žฅ ๋ ˆ์˜ˆ์Šค์˜ ๋…ผ๋ฌธ์€ ๋ชจ๋“  ์ปค๋ฎคํ‹ฐ๋ธŒ C ๋Œ€์ˆ˜์— ๋Œ€ํ•ด ๊ฒ”ํŒ๋“œ ์ŠคํŽ™ํŠธ๋Ÿผ์„ ํ• ๋‹นํ•˜๋Š” ํŽ‘ํ„ฐ๊ฐ€ ํ–‰๋ ฌ ๋Œ€์ˆ˜ M n(C) (n โ‰ฅ 3)์—์„œ ์ž๋ช…ํ•œ ๊ฒฐ๊ณผ๋ฅผ ์–ป๋Š”๋‹ค๋Š” ๊ฒƒ์„ ๋ณด์—ฌ์ค€๋‹ค. ๋ณธ ๋…ผ๋ฌธ์€ ์ด ์ •๋ฆฌ๋ฅผ ํ™•์žฅํ•˜

Quantum Physics Mathematics
No Image

Stabilizer States as a Basis for Density Matrices

๋ณธ ๋…ผ๋ฌธ์€ ์–‘์ž ์ •๋ณด ์ฒ˜๋ฆฌ ๋ถ„์•ผ์—์„œ ์ค‘์š”ํ•œ ๊ฐœ๋…์ธ ์•ˆ์ •ํ™” ์ƒํƒœ์™€ ๋ฐ€๋„ ํ–‰๋ ฌ์˜ ๊ด€๊ณ„๋ฅผ ํƒ๊ตฌํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ์–‘์ž ์‹œ์Šคํ…œ์˜ ๋ชจ๋ธ ๊ฒ€์ฆ์„ ํšจ์œจ์ ์œผ๋กœ ์ˆ˜ํ–‰ํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์–‘์ž ์ปดํ“จํŒ…๊ณผ ๊ด€๋ จ๋œ ์—ฌ๋Ÿฌ ๋ฌธ์ œ ํ•ด๊ฒฐ์— ์žˆ์–ด ์ค‘์š”ํ•œ ๊ธฐ์—ฌ๋ฅผ ํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. ์•ˆ์ •ํ™” ์ƒํƒœ์™€ ๋ฐ€๋„ ํ–‰๋ ฌ ์•ˆ์ •ํ™” ์ƒํƒœ๋Š” ํŠน์ • ํŒŒ์šธ๋ฆฌ ์—ฐ์‚ฐ์ž์˜ ์ƒ์„ฑ์ž์™€ ์•ˆ์ •ํ™” ๊ทธ๋ฃน์˜ ๊ต์ง‘ํ•ฉ์œผ๋กœ ํ‘œํ˜„๋˜๋Š” ์–‘์ž ์ƒํƒœ์ž…๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ์ƒํƒœ๋“ค์€ ํ—ค๋“œ๋งˆ๋ฅด, ํŒŒ์šธ๋ฆฌ, ์ œ์–ด NOT, ๊ทธ๋ฆฌ๊ณ  ์œ„์ƒ ๊ฒŒ์ดํŠธ์— ๋Œ€ํ•ด ๋‹ซํ˜€ ์žˆ์œผ๋ฉฐ, ์ด๋“ค ๊ฐ„์˜ ํ…์„œ ๊ณฑ๋„ ์—ญ์‹œ ์•ˆ์ •ํ™” ์ƒํƒœ๋ฅผ ํ˜•์„ฑํ•ฉ๋‹ˆ๋‹ค. ๋…ผ๋ฌธ์—์„œ

Computer Science Emerging Technologies Quantum Physics
Quantum Entanglement Phase Transition in Werner State

Quantum Entanglement Phase Transition in Werner State

: ๋ณธ ๋…ผ๋ฌธ์€ ๊ณ„์‚ฐ ์—ญํ•™์„ ๊ธฐ๋ฐ˜์œผ๋กœ ํ•œ ์ƒˆ๋กœ์šด ์ ‘๊ทผ๋ฒ•์„ ํ†ตํ•ด ์–‘์ž ์‹œ์Šคํ…œ์˜ ๋ณต์žก์„ฑ์„ ์ธก์ •ํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ์ œ์•ˆํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ๊ณ ์ „์  ๋ณต์žก์„ฑ ์ธก์ • ์ง€ํ‘œ์™€ ๋‹ฌ๋ฆฌ, ์–ฝํž˜๊ณผ ๊ฐ™์€ ์–‘์ž ํšจ๊ณผ๋ฅผ ํฌ์ฐฉํ•  ์ˆ˜ ์žˆ๋Š” ์ƒˆ๋กœ์šด ์ง€ํ‘œ ๊ฐœ๋ฐœ์— ์ดˆ์ ์„ ๋งž์ถ”๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. ๊ณ„์‚ฐ ์—ญํ•™์˜ ๊ธฐ์ดˆ ๊ณ„์‚ฐ ์—ญํ•™์€ Crutchfield์™€ Young์ด ์ œ์•ˆํ•œ ๊ฐœ๋…์œผ๋กœ, ๋™์—ญํ•™ ์‹œ์Šคํ…œ์˜ ๋ณต์žก์„ฑ์„ ์ธก์ •ํ•˜๋Š” ๋ฐฉ๋ฒ•์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. ์ด ์ ‘๊ทผ๋ฒ•์—์„œ๋Š” ํ™•๋ฅ ์  ์ž๋™๋ฌธ์„ ์ƒ์„ฑํ•˜์—ฌ ๋ถ„์„ ์‹œ์Šคํ…œ์˜ ๊ธฐํ˜ธ ์—ญํ•™์„ ๋ชจ๋ฐฉํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ๋‚ด์žฌ์ ์ธ ๊ณ„์‚ฐ ๋ฐ ๋ณต์žก์„ฑ์„ ์ •๋Ÿ‰ํ™”ํ•ฉ๋‹ˆ๋‹ค. 2. ์–‘์ž ์ƒ

Physics Nonlinear Sciences Quantum Physics
Adversary lower bounds in the Hamiltonian oracle model

Adversary lower bounds in the Hamiltonian oracle model

Catchy Title KO: ํ•˜๋ฏธํ„ด ์˜ค๋ผํด ๋ชจ๋ธ์—์„œ ์ ๋Œ€์ž ๋ฐฉ๋ฒ•์„ ํ†ตํ•œ ์–‘์ž ์ฟผ๋ฆฌ ๋ณต์žก๋„ ๋ถ„์„ Abstract KO: ์ด ๋…ผ๋ฌธ์€ ์–‘์ž ์ฟผ๋ฆฌ ๋ชจ๋ธ์—์„œ ํ•จ์ˆ˜ ๊ณ„์‚ฐ์˜ ๋ณต์žก์„ฑ์„ ๋ถ„์„ํ•˜๋Š” ๋ฐ ์‚ฌ์šฉ๋˜๋Š” ์ ๋Œ€์ž ๋ฐฉ๋ฒ•์— ์ดˆ์ ์„ ๋งž์ถ”๊ณ  ์žˆ๋‹ค. ํŠนํžˆ, ์ด ๋…ผ๋ฌธ์—์„œ๋Š” ํ•˜๋ฏธํ„ด ์˜ค๋ผํด ๋ชจ๋ธ์ด๋ผ๋Š” ์—ฐ์† ์‹œ๊ฐ„ ๋ชจ๋ธ์„ ํ†ตํ•ด ์ด๋Ÿฌํ•œ ๋ฐฉ๋ฒ•๋ก ์„ ์ ์šฉํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ์–‘์ž ์•Œ๊ณ ๋ฆฌ์ฆ˜์˜ ์ฟผ๋ฆฌ ๋ณต์žก๋„๋ฅผ ๋ถ„์„ํ•œ๋‹ค. ์ด๋Š” ์ด์‚ฐ ์ฟผ๋ฆฌ ๋ชจ๋ธ๊ณผ ๋ถ„์ˆ˜ ์ฟผ๋ฆฌ ๋ชจ๋ธ์—์„œ ์‚ฌ์šฉ๋˜๋Š” ์ ๋Œ€์ž ๋ฐฉ๋ฒ•๊ณผ ์œ ์‚ฌํ•˜์ง€๋งŒ, ์—ฐ์† ์‹œ๊ฐ„ ๋ชจ๋ธ์—์„œ๋Š” ํ•˜๋ฏธํ„ด ์˜ค๋ผํด์„ ํ†ตํ•ด ํ•จ์ˆ˜ ๊ณ„์‚ฐ์ด ์ˆ˜ํ–‰๋œ๋‹ค. Deep Ana

Model Computational Complexity Quantum Physics Computer Science
On the Simulation of Adaptive Measurements via Postselection

On the Simulation of Adaptive Measurements via Postselection

๋ณธ ๋…ผ๋ฌธ์€ ์–‘์ž ๊ณ„์‚ฐ ๋ชจ๋ธ์—์„œ ์ ์‘ ์ธก์ •์ด ํฌ์ŠคํŠธ์„ ํƒ์„ ํ†ตํ•ด ์‹œ๋ฎฌ๋ ˆ์ด์…˜๋  ์ˆ˜ ์žˆ๋Š”์ง€์— ๋Œ€ํ•œ ํƒ๊ตฌ๋ฅผ ์ค‘์‹ฌ์œผ๋กœ ์ง„ํ–‰๋ฉ๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์–‘์ž ์ปดํ“จํŒ… ๋ถ„์•ผ์—์„œ ์ค‘์š”ํ•œ ์˜๋ฏธ๋ฅผ ์ง€๋‹ˆ๋ฉฐ, ํŠนํžˆ P ๋ฌธ์ œ ํ•ด๊ฒฐ ๋Šฅ๋ ฅ๊ณผ ๊ฐ™์€ ์ž ์žฌ์ ์ธ ํ˜์‹ ์  ๊ฒฐ๊ณผ๋ฅผ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค. 1. ์„œ๋ก  ์„œ๋ก ์—์„œ๋Š” ํฌ์ŠคํŠธBQP(PostBQP) ๋ณต์žก์„ฑ ํด๋ž˜์Šค์— ๋Œ€ํ•œ ์†Œ๊ฐœ์™€ ์•„๋ก ์†์ด ์ œ๊ธฐํ•œ ํฅ๋ฏธ๋กœ์šด ์งˆ๋ฌธ์„ ๋‹ค๋ฃน๋‹ˆ๋‹ค. ํฌ์ŠคํŠธBQP๋Š” ํฌ์ŠคํŠธ์„ ํƒ๊ณผ ์ œํ•œ๋œ ์˜ค์ฐจ๋ฅผ ๊ฐ€์ง„ ์–‘์ž ํŠœ๋ง ๋จธ์‹ ์—์„œ ํ•ด๊ฒฐ ๊ฐ€๋Šฅํ•œ ๋ชจ๋“  ๊ณ„์‚ฐ ๋ฌธ์ œ๋ฅผ ํฌํ•จํ•˜๋Š” ๋ณต์žก์„ฑ ํด๋ž˜์Šค์ž…๋‹ˆ๋‹ค. ๋˜ํ•œ, ํฌ์ŠคํŠธBQP๊ฐ€ ํ™•๋ฅ ์  ํŠœ๋ง ๋จธ์‹ ์— ์˜ํ•ด

Quantum Physics Computational Complexity Computer Science
Comment on 'There is No Quantum World' by Jeffrey Bub

Comment on 'There is No Quantum World' by Jeffrey Bub

์ด ๋…ผํ‰์€ ์–‘์ž ๋…ผ๋ฆฌ์™€ ํ™•๋ฅ  ์ด๋ก  ์‚ฌ์ด์˜ ๊นŠ์€ ๊ตฌ์กฐ์  ์—ฐ๊ด€์„ฑ์„ ๊ฐ•์กฐํ•œ๋‹ค. ์ง๊ต ๊ณต๊ฐ„(orthogonal space)์€ ํž๋ฒ ๋ฅดํŠธ ๊ณต๊ฐ„์˜ ํ•œ ํ˜•ํƒœ๋กœ, ์–‘์ž์—ญํ•™์—์„œ ์ƒํƒœ๋ฒกํ„ฐ๊ฐ€ ์„œ๋กœ ์ง๊ตํ•  ๋•Œ ์„œ๋กœ ๋ฐฐํƒ€์ ์ธ ๋ฌผ๋ฆฌ์  ์ƒํƒœ๋ฅผ ๋‚˜ํƒ€๋‚ธ๋‹ค. ์ด๋Ÿฌํ•œ ๊ณต๊ฐ„์— ๋Œ€ํ•ด โ€œ์ง๊ต์„ฑ์„ ๋ณด์กดํ•˜๋Š” ์‚ฌ์ƒโ€์ด๋ผ ํ•จ์€ ๋‘ ๋ฒกํ„ฐ๊ฐ€ ์ง๊ต์ผ ๋•Œ ๊ทธ ์ด๋ฏธ์ง€ ์—ญ์‹œ ์ง๊ต๊ฐ€ ๋˜๋Š” ์„ ํ˜• ํ˜น์€ ๋ฐ˜์„ ํ˜• ๋ณ€ํ™˜์„ ์˜๋ฏธํ•œ๋‹ค. Uhlhorn ์ •๋ฆฌ๋Š” ์ด๋Ÿฌํ•œ ์‚ฌ์ƒ์ด ์‹ค์ œ๋กœ๋Š” ์ „์ฒด ๋‚ด์ ์„ ๋ณด์กดํ•˜๋Š”(์ฆ‰, ์œ ๋‹ˆํ„ฐ๋ฆฌ ํ˜น์€ ๋ฐ˜์œ ๋‹ˆํ„ฐ๋ฆฌ) ๋ณ€ํ™˜์— ํ•œ์ •๋œ๋‹ค๋Š” ๊ฐ•๋ ฅํ•œ ๊ฒฐ๊ณผ๋ฅผ ์ œ๊ณตํ•œ๋‹ค. ์ฆ‰, ์ง๊ต์„ฑ์„ ๋ณด์กดํ•˜๋ฉด ์ž๋™์ 

Quantum Physics
On the impossibility of non-static quantum bit commitment between two parties

On the impossibility of non-static quantum bit commitment between two parties

๋ณธ ๋…ผ๋ฌธ์€ ์–‘์ž ๋น„ํŠธ ์ปค๋ฐ‹๋จผํŠธ(QBC) ํ”„๋กœํ† ์ฝœ์˜ ๋ณด์•ˆ์„ฑ๊ณผ ํ•œ๊ณ„์— ๋Œ€ํ•ด ์‹ฌ๋„ ์žˆ๊ฒŒ ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค. QBC๋Š” ์•”ํ˜ธํ™”์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•˜๋Š”๋ฐ, ์ด๋Š” ์ „์†ก์ž๊ฐ€ ์ˆ˜์‹ ์ž์—๊ฒŒ 0 ๋˜๋Š” 1 ์ค‘ ํ•˜๋‚˜์˜ ๋น„ํŠธ๋ฅผ ์•ฝ์†ํ•˜๋Š” ๊ณผ์ •์ž…๋‹ˆ๋‹ค. ์ด ํ”„๋กœ์„ธ์Šค๋Š” ๋ฐ”์ธ๋”ฉ ์†์„ฑ๊ณผ ๊ฐ์ถ”๋Š” ์†์„ฑ์„ ๋™์‹œ์— ์ถฉ์กฑํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ๋ฐ”์ธ๋”ฉ ์†์„ฑ์€ ์ „์†ก์ž๊ฐ€ ์ปค๋ฐ‹๋จผํŠธ ๋‹จ๊ณ„ ์ดํ›„์— ์•ฝ์†ํ•œ ๋น„ํŠธ ๊ฐ’์„ ๋ณ€๊ฒฝํ•  ์ˆ˜ ์—†์Œ์„ ์˜๋ฏธํ•˜๋ฉฐ, ๊ฐ์ถ”๋Š” ์†์„ฑ์€ ์ˆ˜์‹ ์ž์—๊ฒŒ ์ปค๋ฐ‹๋จผํŠธ ๋‹จ๊ณ„ ์ด์ „์—๋Š” ์•ฝ์†๋œ ๋น„ํŠธ ๊ฐ’์ด ์•Œ๋ ค์ง€์ง€ ์•Š์Œ์„ ๋‚˜ํƒ€๋ƒ…๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ๋‘ ๊ฐ€์ง€ ์†์„ฑ์„ ๋™์‹œ์— ์ถฉ์กฑํ•˜๋Š” ๊ณ ์ „์  ๋น„ํŠธ ์ปค๋ฐ‹๋จผํŠธ ํ”„๋กœํ† ์ฝœ

Quantum Physics Computer Science Cryptography and Security
Superiority of exact quantum automata for promise problems

Superiority of exact quantum automata for promise problems

: ๋ณธ ๋…ผ๋ฌธ์€ ์–‘์ž ์ปดํ“จํŒ…๊ณผ ๊ณ ์ „์  ์ปดํ“จํŒ…์˜ ์„ฑ๋Šฅ ์ฐจ์ด์— ๋Œ€ํ•œ ์‹ฌ๋„ ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. ํŠนํžˆ, ์–‘์ž ์˜คํ† ๋งˆํƒ€์™€ ๊ฒฐ์ •์  ์œ ํ•œ ์˜คํ† ๋งˆํƒ€(DFA)๋ฅผ ๋น„๊ตํ•˜์—ฌ ์–‘์ž์˜ ์šฐ์›”์„ฑ์„ ์ž…์ฆํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ ์–‘์ž ๊ณ„์‚ฐ์€ ๋ถ€๋ถ„ ํ•จ์ˆ˜์™€ ์ „์ฒด ํ•จ์ˆ˜์— ๋Œ€ํ•œ ๊ด‘๋ฒ”์œ„ํ•œ ์—ฐ๊ตฌ๊ฐ€ ์ด๋ฃจ์–ด์ ธ ์™”์Šต๋‹ˆ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜ ์ž๋™ํ™” ์ด๋ก ์—์„œ๋Š” ์–‘์ž ์œ ํ•œ ์˜คํ† ๋งˆํƒ€(QFA)์˜ ์„ฑ๋Šฅ์„ ๋ถ„์„ํ•˜๋Š” ๊ฒฐ๊ณผ๋Š” ๋งค์šฐ ์ œํ•œ์ ์ด์—ˆ์Šต๋‹ˆ๋‹ค. Klauck

Formal Languages Quantum Physics Computational Complexity Computer Science

< Category Statistics (Total: 743) >

Astrophysics
88
Computer Science
248
Condensed Matter
8
Economics
6
Electrical Engineering and Systems Science
7
General
272
General Relativity
7
HEP-EX
5
HEP-PH
12
HEP-TH
5
MATH-PH
3
Mathematics
79
NUCL-TH
1
Nonlinear Sciences
16
Physics
88
Quantitative Biology
14
Quantitative Finance
11
Quantum Physics
10
Statistics
10

Start searching

Enter keywords to search articles

โ†‘โ†“
โ†ต
ESC
โŒ˜K Shortcut