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Finding Small TwoQubit Circuits
"... An important result from the mid nineties shows that any unitary evolution may be realized as a sequence of controllednot and onequbit gates. This work surveys especially efficient circuits in this library, in the special case of evolutions on twoquantum bits. In particular, we show that to const ..."
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that to construct an arbitrary twoqubit state from 00〉, one CNOT gate suffices. To simulate an arbitrary twoqubit operator up to relative phases, two CNOTs suffice. To simulate an arbitrary twoqubit operator up to global phase, three CNOTs suffice. In each case, we construct an explicit circuit and prove
Characterization of Universal TwoQubit Hamiltonians
 Quantum Inf. Comput
"... Suppose we can apply a given 2qubit Hamiltonian H to any (ordered) pair of qubits. We say H is nuniversal if it can be used to approximate any unitary operation on n qubits. While it is well known that almost any 2qubit Hamiltonian is 2universal (Deutsch, Barenco, Ekert 1995; Lloyd 1995), an exp ..."
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with the gate that swaps two qubits, (2) H acts on the two qubits independently (in any of a certain family of bases), or (3) H has zero trace. A 2nonuniversal 2qubit Hamiltonian can still be nuniversal for some n ≥ 3. We give some partial results on 3universality. 1
QUANTUM CONTROL OF TWOQUBIT ENTANGLEMENT DISSIPATION
"... Solomon, Allan I. and Schirmer, Sophie G. (2011). Quantum control of twoqubit entanglement dissipa ..."
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Solomon, Allan I. and Schirmer, Sophie G. (2011). Quantum control of twoqubit entanglement dissipa
Twoqubit projective measurements are universal for quantum computation
"... Nielsen showed in quantph/0108020 that universal quantum computation can be performed using projective measurements, quantum memory, and preparation of the 0 〉 state. Furthermore, 4qubit measurements are sufficient. Fenner and Zhang showed in quantph/0111077 that 3qubit measurements are suffici ..."
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Nielsen showed in quantph/0108020 that universal quantum computation can be performed using projective measurements, quantum memory, and preparation of the 0 〉 state. Furthermore, 4qubit measurements are sufficient. Fenner and Zhang showed in quantph/0111077 that 3qubit measurements
Twoqubit copying machine for economical quantum eavesdropping
 Phys. Rev. A
, 1999
"... We study the mapping which occurs when a single qubit in an arbitrary state interacts with another qubit in a given, fixed state resulting in some unitary transformation on the two qubit system which, in effect, makes two copies of the first qubit. The general problem of the quality of the resulting ..."
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Cited by 8 (3 self)
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We study the mapping which occurs when a single qubit in an arbitrary state interacts with another qubit in a given, fixed state resulting in some unitary transformation on the two qubit system which, in effect, makes two copies of the first qubit. The general problem of the quality
Improving the purity of one and twoqubit gates
, 2006
"... We investigate the influence of AC driving fields on the coherence properties of one and twoqubit gate operations. In both cases, we find that for suitable driving parameters, the gate purity improves significantly. A mapping of the timedependent systembath model to an effective static model pro ..."
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Cited by 2 (0 self)
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We investigate the influence of AC driving fields on the coherence properties of one and twoqubit gate operations. In both cases, we find that for suitable driving parameters, the gate purity improves significantly. A mapping of the timedependent systembath model to an effective static model
Quantum circuits for incompletely specified twoqubit operators
 Quantum Information and Computation
, 2005
"... ar ..."
Characterization of nonuniversal twoqubit Hamiltonians
"... I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, including any required final revisions, as accepted by my examiners. I understand that my thesis may be made electronically available to the public. ii It is known that almost all 2qubit gates are universa ..."
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qubit Hamiltonians. There are three cases when a 2qubit Hamiltonian H is not universal: (1) H shares an eigenvector with the gate that swaps two qubits; (2) H
Results 1  10
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6,925