© Amazon Technologies, Inc., California Institute of Technology, and Alfred Rényi Institute of Mathematics, 2025. Open Access (CC BY-NC-ND 4.0) b Chuyên khảo en Alexander M. Dalzell; Sam McArdle; Mario Berta et. all Contributor <p data-d-component="text" class="x1ghz6dp x1717udv x1wty727 x1pd3egz x4gjf66 x1kw3rcc x104jwf5 x1lziwak x15472z4 x1qlqyl8 x15bjb6t x1lliihq x14rh7hd" style="overflow-wrap: break-word; text-wrap: pretty; border: 0px; margin: 8px 0px 0px; padding: 0px; font-size: 16px; line-height: inherit; color: rgb(13, 13, 13); --d-auto-block-spacing: calc(.25rem * 2); --d-auto-inline-spacing: 0px; white-space-collapse: preserve-breaks; background-color: rgb(252, 252, 252); --x-color: light-dark(rgba(13, 13, 13, 1), rgba(255, 255, 255, 1));"><font face="Times New Roman"><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">Sách</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">khảo</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">sát</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">có</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">hệ</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">thống</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">các</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">thuật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">và</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">khả</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">năng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">ứng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">dụng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">trong</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">nhiều</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lĩnh</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">vực</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">như</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">vật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lý,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">hóa</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">học,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tối</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">ưu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">hóa,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tài</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">chính</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">và</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">học</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">máy.</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">Tài</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">liệu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">trình</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">bày</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">các</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">thuật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">kỹ</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">thuật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tính</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">nền</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tảng,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">độ</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">phức</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tạp</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tính</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">và</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">yêu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">cầu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tài</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">nguyên</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">khi</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">triển</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">khai.</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">Ngoài</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">ra,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">sách</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">đề</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">cập</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">đến</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">phân</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tích</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">mật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">mã,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">mật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">mã</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">hậu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">sửa</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lỗi</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">và</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">điện</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">chịu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lỗi.</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">Phù</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">hợp</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">cho</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">nghiên</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">cứu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">chuyên</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">sâu</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">về</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">khoa</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">học</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">máy</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tính,</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">vật</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lý</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">lượng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">tử</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">và</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">toán</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">học</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">ứng</span><span style="font-size: 14px; white-space: normal;"> </span><span data-d-streaming-word="" style="font-size: 14px; white-space: normal;">dụng.</span></font></p><p><p></p></p><div data-d-component="row" data-d-direction="row" data-d-auto-spacing="" class="x78zum5 xeuugli x9f619 x1s0upfa x15pztkk x1q0g3np xp7h7ln xdj266r x15eiy0f x1lziwak x15472z4" style="box-sizing: border-box; flex: 0 0 auto; display: flex; margin-inline-start: 0px; flex-direction: row; margin-top: 0px; min-width: 0px; --d-auto-block-spacing: 0px; --d-auto-inline-spacing: 0px; --d-box-authored-color: initial; --d-box-color: transparent; --x-flex: none;"><span data-d-component="favicon" role="presentation" class="x1n2onr6 x78zum5 xdt5ytf xeuugli x2lah0s xb3r6kr xorixrz x5lhr3w x16ye13r xdj266r x15eiy0f x1lziwak x15472z4" style="box-sizing: border-box; overflow: hidden; border-radius: 100%; display: flex; flex-direction: column; flex-shrink: 0; margin-inline-start: 0px; position: relative; margin-top: 0px; min-width: 0px; height: 12px; width: 12px; --d-auto-block-spacing: 0px; --d-auto-inline-spacing: 0px; --x-width: 12px; --x-height: 12px;"></span></div> Cambridge University Press 2025 pdf Có thể trực tiếp tải tài liệu tại: https://www.cambridge.org/core/books/quantum-algorithms/EF7A52B88199BC0DA5A2CC99794A8C39 thuật toán lượng tử máy tính lượng tử mật mã học độ phức tạp tính toán học máy lượng tử Quantum Algorithms: A Survey of Applications and End-to-end Complexities mixed material Cambridge University Press