scholarly journals Superadditivity in Trade-Off Capacities of Quantum Channels

2019 ◽  
Vol 65 (6) ◽  
pp. 3973-3989 ◽  
Author(s):  
Elton Yechao Zhu ◽  
Quntao Zhuang ◽  
Min-Hsiu Hsieh ◽  
Peter W. Shor
Keyword(s):  
Quantum Channels ◽  
Trade Off

scholarly journals Superadditivity in Trade-Off Capacities of Quantum Channels

2018 ◽  
Author(s):  
Elton Yechao Zhu ◽  
Quntao Zhuang ◽  
Min-Hsiu Hsieh ◽  
Peter W. Shor
Keyword(s):  
Quantum Channels ◽  
Trade Off

scholarly journals Trade-off relations for operation entropy of complementary quantum channels

2019 ◽  
Vol 17 (05) ◽  
pp. 1950046
Author(s):  
Jakub Czartowski ◽  
Daniel Braun ◽  
Karol Życzkowski
Keyword(s):  
Quantum Channel ◽  
Lower Boundary ◽  
Von Neumann Entropy ◽  
Input State ◽  
Quantum Channels ◽  
Quantum Operation ◽  
Trade Off ◽  
Von Neumann ◽  
State Of The Environment ◽  
Complementary Channel

The entropy of a quantum operation, defined as the von Neumann entropy of the corresponding Choi–Jamiołkowski state, characterizes the coupling of the principal system with the environment. For any quantum channel acting on a state of a given size, one defines the complementary channel, which sends the input state into the state of the environment after the operation. Making use of subadditivity of entropy, we show that for any dimension the sum of both entropies is bounded from below. This result characterizes the trade-off between the information on the initial quantum state accessible to the principal system and the information leaking to the environment. For one qubit maps we describe the interpolating family of depolarizing maps, for which the sum of both entropies gives the lower boundary of the region allowed in the space spanned by both entropies.

scholarly journals Quantum complementarity and operator structures

2019 ◽  
Vol 19 (1&2) ◽  
pp. 67-83
Author(s):  
David W. Kribs ◽  
Jeremy Livick ◽  
Mike I. Nelson ◽  
Rajesh Perira ◽  
Mizanur Rahaman
Keyword(s):  
Operator Algebras ◽  
Quantum States ◽  
Quantum Channels ◽  
Operator Spaces ◽  
Trade Off ◽  
Operator Structure ◽  
Private Operator

We establish operator structure identities for quantum channels and their error-correcting and private codes, emphasizing the complementarity relationship between the two perspectives. Relevant structures include correctable and private operator algebras, and operator spaces such as multiplicative domains and nullspaces of quantum channels and their complementary maps. For the case of privatizing to quantum states, we also derive dimension inequalities on the associated operator algebras that further quantify the trade-off between correction and privacy.

A Flow-Preserving Algorithm for the Time-Cost Trade-Off Problem

1982 ◽  
Vol 14 (2) ◽  
pp. 109-113 ◽  
Author(s):  
Suleyman Tufekci
Keyword(s):  
Time Cost ◽  
Trade Off

Dual Goals for Speed and Accuracy on the Same Performance Task

2012 ◽  
Vol 11 (3) ◽  
pp. 118-126 ◽  
Author(s):  
Olive Emil Wetter ◽  
Jürgen Wegge ◽  
Klaus Jonas ◽  
Klaus-Helmut Schmidt
Keyword(s):  
Memory Scanning ◽  
Performance Task ◽  
Performance Tasks ◽  
Trade Off ◽  
Test Experiment ◽  
Trade Offs ◽  
New Finding ◽  
Sternberg Paradigm ◽  
Speed Accuracy ◽  
Speed And Accuracy

In most work contexts, several performance goals coexist, and conflicts between them and trade-offs can occur. Our paper is the first to contrast a dual goal for speed and accuracy with a single goal for speed on the same task. The Sternberg paradigm (Experiment 1, n = 57) and the d2 test (Experiment 2, n = 19) were used as performance tasks. Speed measures and errors revealed in both experiments that dual as well as single goals increase performance by enhancing memory scanning. However, the single speed goal triggered a speed-accuracy trade-off, favoring speed over accuracy, whereas this was not the case with the dual goal. In difficult trials, dual goals slowed down scanning processes again so that errors could be prevented. This new finding is particularly relevant for security domains, where both aspects have to be managed simultaneously.

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