منابع مشابه
Typical entanglement of stabilizer states
How entangled is a randomly chosen bipartite stabilizer state? We show that if the number of qubits each party holds is large, the state will be close to maximally entangled with probability exponentially close to 1. We provide a similar tight characterization of the entanglement present in the maximally mixed state of a randomly chosen stabilizer code. Finally, we show that typically very few ...
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This work is concerned with multi-party stabilizer states in the sense of quantum information theory. We investigate the homological invariants for states of which each party holds a large equal number N of quantum bits. We show that in many cases there is a generic expected value of the invariants : for large N it is approximated with arbitrarily high probability if a stabilizer state is chose...
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The Pauli groups are ubiquitous in quantum information theory because of their usefulness in describing quantum states and operations and their readily understood symmetry properties. In addition, the most well-understood quantum error correcting codes—stabilizer codes—are built using Pauli operators. The eigenstates of these operators—stabilizer states—display a structure (e.g., mutual orthogo...
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Large-scale quantum computation is likely to require massive quantum error correction (QEC). QEC codes and circuits are described via the stabilizer formalism, which represents stabilizer states by keeping track of the operators that preserve them. Such states are obtained by stabilizer circuits (consisting of CNOT, Hadamard and Phase gates) and can be represented compactly on conventional comp...
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It is well-known and follows from Holevo’s theorem [7] that approximately determining an arbitrary quantum state |ψ〉 of n qubits requires exponentially many (in n) copies of |ψ〉. One way of circumventing this problem is to relax the notion of what it means to determine |ψ〉 (e.g. by requiring only that we are able to predict the result of “most” measurements on |ψ〉, according to some probability...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2015
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.92.012305