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• W642438502 abstract "Transmitting quantum information across quantum channels is an important task. However quantum information is delicate, and is easily corrupted. We address the task of protecting quantum information from an information theoretic perspective – we encode some message qudits into a quantum code, send the encoded quantum information across the noisy quantum channel, then recover the message qudits by decoding. In this dissertation, we discuss the coding problem from several perspectives. The noisy quantum channel is one of the central aspects of the quantum coding problem, and hence quantifying the noisy quantum channel from the physical model is an important problem. We work with an explicit physical model – a pair of initially decoupled quantum harmonic oscillators interacting with a spring-like coupling, where the bath oscillator is initially in a thermal-like state. In particular, we treat the completely positive and trace preserving map on the system as a quantum channel, and study the truncation of the channel by truncating its Kraus set. We thereby derive the matrix elements of the Choi-Jamiolkowski operator of the corresponding truncated channel, which are truncated transition amplitudes. Finally, we give a computable approximation for these truncated transition amplitudes with explicit error bounds, and perform a case study of the oscillators in the off-resonant and weakly-coupled regime numerically. In the context of truncated noisy channels, we revisit the notion of approximate error correction of finite dimension codes. We derive a computationally simple lower bound on the worst case entanglement fidelity of a quantum code, when the truncated recovery map of Leung et. al. is rescaled. As an application, we apply our bound to construct a family of multi-error correcting amplitude damping codes that are permutation-invariant. This demonstrates an explicit example where the specific structure of the noisy channel allows code design out of the stabilizer formalism via purely algebraic means. We study lower bounds on the quantum capacity of adversarial channels, where we restrict the selection of quantum codes to the set of concatenated quantum codes. The adversarial channel is a quantum channel where an adversary corrupts a fixed fraction of qudits sent across a quantum channel in the most malicious way possible. The best" @default.
• W642438502 created "2016-06-24" @default.
• W642438502 creator A5006250123 @default.
• W642438502 date "2013-05-01" @default.
• W642438502 modified "2023-09-23" @default.
• W642438502 title "Transmitting Quantum Information Reliably across Various Quantum Channels" @default.
• W642438502 cites W1498924426 @default.
• W642438502 cites W1550061415 @default.
• W642438502 cites W1604186478 @default.
• W642438502 cites W1606480398 @default.
• W642438502 cites W1631356911 @default.
• W642438502 cites W1667181894 @default.
• W642438502 cites W1712615074 @default.
• W642438502 cites W1785526227 @default.
• W642438502 cites W1839785972 @default.
• W642438502 cites W1848366941 @default.
• W642438502 cites W1915043874 @default.
• W642438502 cites W1965562276 @default.
• W642438502 cites W1970302872 @default.
• W642438502 cites W1973949452 @default.
• W642438502 cites W1976052006 @default.
• W642438502 cites W1976865215 @default.
• W642438502 cites W1977545330 @default.
• W642438502 cites W1977821353 @default.
• W642438502 cites W1985989979 @default.
• W642438502 cites W1989301419 @default.
• W642438502 cites W1989363424 @default.
• W642438502 cites W1990112475 @default.
• W642438502 cites W1990234127 @default.
• W642438502 cites W1991524524 @default.
• W642438502 cites W1991995316 @default.
• W642438502 cites W1999108869 @default.
• W642438502 cites W1999214606 @default.
• W642438502 cites W1999966329 @default.
• W642438502 cites W2000470073 @default.
• W642438502 cites W2003115626 @default.
• W642438502 cites W2006783121 @default.
• W642438502 cites W2011170321 @default.
• W642438502 cites W2014860393 @default.
• W642438502 cites W2015683881 @default.
• W642438502 cites W2020508908 @default.
• W642438502 cites W2028710066 @default.
• W642438502 cites W2031702389 @default.
• W642438502 cites W2031973727 @default.
• W642438502 cites W2032070609 @default.
• W642438502 cites W2041589158 @default.
• W642438502 cites W2041994468 @default.
• W642438502 cites W2045257197 @default.
• W642438502 cites W2048877504 @default.
• W642438502 cites W2052199078 @default.
• W642438502 cites W2066331763 @default.
• W642438502 cites W2068143801 @default.
• W642438502 cites W2069777556 @default.
• W642438502 cites W2072082204 @default.
• W642438502 cites W2073098195 @default.
• W642438502 cites W2076107177 @default.
• W642438502 cites W2078085046 @default.
• W642438502 cites W2079997574 @default.
• W642438502 cites W2081402077 @default.
• W642438502 cites W2088322284 @default.
• W642438502 cites W2092268081 @default.
• W642438502 cites W2092392984 @default.
• W642438502 cites W2093386121 @default.
• W642438502 cites W2100274816 @default.
• W642438502 cites W2102325802 @default.
• W642438502 cites W2105074092 @default.
• W642438502 cites W2106070508 @default.
• W642438502 cites W2107336030 @default.
• W642438502 cites W2107349523 @default.
• W642438502 cites W2111937453 @default.
• W642438502 cites W2116102644 @default.
• W642438502 cites W2123809589 @default.
• W642438502 cites W2124792389 @default.
• W642438502 cites W2126916397 @default.
• W642438502 cites W2128751442 @default.
• W642438502 cites W2132333350 @default.
• W642438502 cites W2133629474 @default.
• W642438502 cites W2138674143 @default.
• W642438502 cites W2138986521 @default.
• W642438502 cites W2141412822 @default.
• W642438502 cites W2143438504 @default.
• W642438502 cites W2144045978 @default.
• W642438502 cites W2145727748 @default.
• W642438502 cites W2151701668 @default.
• W642438502 cites W2152748720 @default.
• W642438502 cites W2157321892 @default.
• W642438502 cites W2157831252 @default.
• W642438502 cites W2160212841 @default.
• W642438502 cites W2161858440 @default.
• W642438502 cites W2162549872 @default.
• W642438502 cites W2170979621 @default.
• W642438502 cites W2171133411 @default.
• W642438502 cites W2313299119 @default.
• W642438502 cites W2592032623 @default.
• W642438502 cites W2594901681 @default.
• W642438502 cites W2763302490 @default.
• W642438502 cites W2801179766 @default.
• W642438502 cites W3000201522 @default.
• W642438502 cites W3100049516 @default.
• W642438502 cites W3103994221 @default.

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