Operator Quantum Error Correction.
... part of this scheme opens up the possibility of studying noiseless subsystems for arbitrary quantum operations. This paper is an expanded and more detailed version of the work [1]. We provide complete details for proofs sketched there, and in some cases we present an alternative “operator” approach ...
... part of this scheme opens up the possibility of studying noiseless subsystems for arbitrary quantum operations. This paper is an expanded and more detailed version of the work [1]. We provide complete details for proofs sketched there, and in some cases we present an alternative “operator” approach ...
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... emerge in Section 8. The derivable notions of mixed states and non-projective measurements will not play a significant rôle in this paper. The values x1 , . . . , xn are in effect merely labels distinguishing the projectors P1 , . . . , Pn in the above sum. Hence we can abstract over them and think ...
... emerge in Section 8. The derivable notions of mixed states and non-projective measurements will not play a significant rôle in this paper. The values x1 , . . . , xn are in effect merely labels distinguishing the projectors P1 , . . . , Pn in the above sum. Hence we can abstract over them and think ...
Quantum one-time programs
... should not be able to learn anything about f (x, y 0 ) beyond what can be inferred from f (x, y), for any y 0 . We use the term “OTP” interchangeably with “noninteractive secure two-party computation”. In this extended abstract we study quantum one-time programs (QOTPs), in which the sender and rece ...
... should not be able to learn anything about f (x, y 0 ) beyond what can be inferred from f (x, y), for any y 0 . We use the term “OTP” interchangeably with “noninteractive secure two-party computation”. In this extended abstract we study quantum one-time programs (QOTPs), in which the sender and rece ...
On the quantum no-signalling assisted zero-error
... Its dual SDP is Σ(N ) = max Tr(JAB UAB ), s.t. UAB ≥ 0, TrA UAB = 1B , where JAB is the Choi-Jamiołkowski matrix of N . By strong duality, the values of both the primal and the dual SDP coincide. The so-called “non-commutative graph theory” was first suggested in [25] as the non-commutative graph as ...
... Its dual SDP is Σ(N ) = max Tr(JAB UAB ), s.t. UAB ≥ 0, TrA UAB = 1B , where JAB is the Choi-Jamiołkowski matrix of N . By strong duality, the values of both the primal and the dual SDP coincide. The so-called “non-commutative graph theory” was first suggested in [25] as the non-commutative graph as ...
Sample pages 2 PDF
... sphere packing approach is a basic one12. If the structure of DNA is designed by the sphere packing law then the form “A” (number 11) is optimal for digital transmission of information. Packing of spheres (atoms and globular proteins) gives that the optimal coding number could be 11,13, 35, and 37, ...
... sphere packing approach is a basic one12. If the structure of DNA is designed by the sphere packing law then the form “A” (number 11) is optimal for digital transmission of information. Packing of spheres (atoms and globular proteins) gives that the optimal coding number could be 11,13, 35, and 37, ...
Introduction to quantum Fisher information
... statistics. Its quantum analog appeared in the 1970’s, see the book [20] of Helstrom and the book [22] of Holevo. Although both the classical Cramér-Rao inequality and its quantum analog are mathematically as trivial as the Schwarz inequality, the subject takes a lot of attention because it is loca ...
... statistics. Its quantum analog appeared in the 1970’s, see the book [20] of Helstrom and the book [22] of Holevo. Although both the classical Cramér-Rao inequality and its quantum analog are mathematically as trivial as the Schwarz inequality, the subject takes a lot of attention because it is loca ...
Information Flow in Entangled Quantum Systems
... The computation basis evolves similarly, with k replaced by the total number of qubits n, and with UG replaced by the product (in any order, since they must commute) of all the unitary matrices corresponding to gates acting at time t. We are now in a position to verify that quantum systems have the ...
... The computation basis evolves similarly, with k replaced by the total number of qubits n, and with UG replaced by the product (in any order, since they must commute) of all the unitary matrices corresponding to gates acting at time t. We are now in a position to verify that quantum systems have the ...
Programming with Quantum Communication
... recursive programs, and of time and space complexity. The theory of quantum programming provides tools to write both classical and quantum specifications, develop quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all i ...
... recursive programs, and of time and space complexity. The theory of quantum programming provides tools to write both classical and quantum specifications, develop quantum programs that implement these specifications, and reason about their comparative time, space, and communication complexity, all i ...
Quantum Communications in the Maritime Environment
... types. For instance, theoretical analysis has shown that, under certain conditions, a QKD protocol that guarantees the perfect security of underwater blue-green optical communications appears to be feasible with a key generation rate of about 170 kb/s over 100m in clear oceanic waters (Jerlov type I ...
... types. For instance, theoretical analysis has shown that, under certain conditions, a QKD protocol that guarantees the perfect security of underwater blue-green optical communications appears to be feasible with a key generation rate of about 170 kb/s over 100m in clear oceanic waters (Jerlov type I ...
QUANTUM ERROR CORRECTING CODES FROM THE
... Consider an open quantum system S represented on a Hilbert space ~ , and write B ( ~ ) for the set of operators that act on 7-/. A "snapshot" of a Hamiltonian-induced evolution of S is called a quantum channel. Mathematically, channels are represented by completely positive, trace preserving maps g ...
... Consider an open quantum system S represented on a Hilbert space ~ , and write B ( ~ ) for the set of operators that act on 7-/. A "snapshot" of a Hamiltonian-induced evolution of S is called a quantum channel. Mathematically, channels are represented by completely positive, trace preserving maps g ...
