Necessary and Sufficient Quantum Information Characterization of
... channel discrimination. In this sense, every entangled state, independently of how weakly entangled it is, is a resource. Nonetheless, exploiting such a resource may require arbitrary joint measurements on the output probe and ancilla [47]. From a conceptual perspective, one may want to limit measur ...
... channel discrimination. In this sense, every entangled state, independently of how weakly entangled it is, is a resource. Nonetheless, exploiting such a resource may require arbitrary joint measurements on the output probe and ancilla [47]. From a conceptual perspective, one may want to limit measur ...
Adiabatic Quantum State Generation and Statistical Zero Knowledge
... of the adiabatic theorem is that if the quantum system is initialized in the ground state (the eigenstate with lowest eigenvalue) of H(0), and if the modification of H in time is done slowly enough, namely adiabatically, then the final state will be the ground state of the final Hamiltonian H(T ). R ...
... of the adiabatic theorem is that if the quantum system is initialized in the ground state (the eigenstate with lowest eigenvalue) of H(0), and if the modification of H in time is done slowly enough, namely adiabatically, then the final state will be the ground state of the final Hamiltonian H(T ). R ...
Creating and Detecting Micro-Macro Photon
... of single-photon entanglement can be proven experimentally by homodyne tomography [17], and also by a combination of interference and single-photon detection [20]. Using single-photon entanglement as a starting point, one can create a micro-macro photon-number entangled state by amplifying one side ...
... of single-photon entanglement can be proven experimentally by homodyne tomography [17], and also by a combination of interference and single-photon detection [20]. Using single-photon entanglement as a starting point, one can create a micro-macro photon-number entangled state by amplifying one side ...
Reading out a quantum bit
... In order to get the result of a quantum algorithm we need to read out the state of the qubits in the out register when the algorithm is done. As we will see later one also needs to read out certain qubits during the computation if we want to perform error correction. On the algorithm level a read-ou ...
... In order to get the result of a quantum algorithm we need to read out the state of the qubits in the out register when the algorithm is done. As we will see later one also needs to read out certain qubits during the computation if we want to perform error correction. On the algorithm level a read-ou ...
Dual-path source engineering in integrated quantum optics
... of the implemented circuits allow for fast and efficient manipulation of light. These highly desired properties have enabled the quantum information community to build and investigate compact, efficient, and high-dimensional networks for the first time [1–10]. Still, the generation of single photons ...
... of the implemented circuits allow for fast and efficient manipulation of light. These highly desired properties have enabled the quantum information community to build and investigate compact, efficient, and high-dimensional networks for the first time [1–10]. Still, the generation of single photons ...
Chapter 6 Quantum Computation
... we can show that a graph has a Hamiltonian path by exhibiting an example, but we don’t know how to show that it has no Hamiltonian path that way!) Assuming that NP 6= co−NP , there is a theorem that says that no co-NP problems are contained in NPC. Therefore, problems in the intersection of NP and c ...
... we can show that a graph has a Hamiltonian path by exhibiting an example, but we don’t know how to show that it has no Hamiltonian path that way!) Assuming that NP 6= co−NP , there is a theorem that says that no co-NP problems are contained in NPC. Therefore, problems in the intersection of NP and c ...
and fourth-order temporal interference
... interferometer. As depicted in Fig. 1, the first is a traditional MZI in which the delay τ between the interfering paths is varied. The second is a MZI in which a spatial flip (SF) has been inserted into one arm of the interferometer [15, 16, 17]; we refer to this as a modified Mach-Zehnder interfer ...
... interferometer. As depicted in Fig. 1, the first is a traditional MZI in which the delay τ between the interfering paths is varied. The second is a MZI in which a spatial flip (SF) has been inserted into one arm of the interferometer [15, 16, 17]; we refer to this as a modified Mach-Zehnder interfer ...
Photonic Crystals - Materials Computation Center
... “ If only were possible to make materials in which electromagnetically waves cannot propagate at certain frequencies, all kinds of almost-magical things would happen” Sir John Maddox, Nature (1990) ...
... “ If only were possible to make materials in which electromagnetically waves cannot propagate at certain frequencies, all kinds of almost-magical things would happen” Sir John Maddox, Nature (1990) ...
Polarization Entanglement Storage in Ensemble-Based ARCHIVES
... My gratitude for finishing this work goes to Prof. Jeffrey Shapiro, my thesis supervisor and theory principal within the Quantum and Optical Communications Group at the Research Laboratory for Electronics (RLE). In the past year and a half, he has been an extremely accessible, effective advisor, and ...
... My gratitude for finishing this work goes to Prof. Jeffrey Shapiro, my thesis supervisor and theory principal within the Quantum and Optical Communications Group at the Research Laboratory for Electronics (RLE). In the past year and a half, he has been an extremely accessible, effective advisor, and ...
Three problems from quantum optics
... was not motivated by attempting to explain quantum optics systematically but I rather talk about problems I was working on in the past five years. The thesis is based on a set of articles that have been published in international physical journals and are attached at the end of the thesis. The first ...
... was not motivated by attempting to explain quantum optics systematically but I rather talk about problems I was working on in the past five years. The thesis is based on a set of articles that have been published in international physical journals and are attached at the end of the thesis. The first ...
Quantum-Secure Coin-Flipping and Applications
... irreversible. Hence, in order to produce a classical output, the simulator had to (partially) measure the quantum system without copying it beforehand, but then it would become generally impossible to reconstruct all information necessary for correct rewinding. For these reasons, no simple and strai ...
... irreversible. Hence, in order to produce a classical output, the simulator had to (partially) measure the quantum system without copying it beforehand, but then it would become generally impossible to reconstruct all information necessary for correct rewinding. For these reasons, no simple and strai ...
Quantum Optics - Department of Physics and Astronomy
... into the wave functions of the individual photons. These entangled states make it possible to test several quantum mechanical theories such as single and double interference at the quantum level. Due to technological advances in the field of optics, we can create entangled photon pairs through type- ...
... into the wave functions of the individual photons. These entangled states make it possible to test several quantum mechanical theories such as single and double interference at the quantum level. Due to technological advances in the field of optics, we can create entangled photon pairs through type- ...
Measurements in Quantum Optics
... projective measurements allows for the creation of any arbitrary state. We find explicit solutions for the case of two and three qubits, while it is shown that no solution exist for N ≥ 7. We conclude the section by proving that with some changes in the setup, this measurement-based quantum state eng ...
... projective measurements allows for the creation of any arbitrary state. We find explicit solutions for the case of two and three qubits, while it is shown that no solution exist for N ≥ 7. We conclude the section by proving that with some changes in the setup, this measurement-based quantum state eng ...
Three particle Hyper Entanglement: Teleportation and Quantum Key
... the OAM operations or measurements must be performed in even/odd basis using OAM sorter [17]. This maps the general OAM state to even/odd basis which is mathematically represented by operator g. Let the photon 1 pass through a Simon-Mukunda polarization gadget which can convert its polarization to a ...
... the OAM operations or measurements must be performed in even/odd basis using OAM sorter [17]. This maps the general OAM state to even/odd basis which is mathematically represented by operator g. Let the photon 1 pass through a Simon-Mukunda polarization gadget which can convert its polarization to a ...
Thermal noise and correlations in photon detection
... is discussed further in Appendix B; the squares of the wave amplitudes are usually related to energy and power or photon number and rate. In this paper I only consider linear optical systems for which one would expect to have a linear relationship between the incoming and the outgoing mode amplitude ...
... is discussed further in Appendix B; the squares of the wave amplitudes are usually related to energy and power or photon number and rate. In this paper I only consider linear optical systems for which one would expect to have a linear relationship between the incoming and the outgoing mode amplitude ...
For ULSI workshop. OUR SLIDES not ready. In PPT format.
... By iteratively applying the same input test vector (a probabilistic test) we are calculating the probability of getting the observed output. The input vectors are always vectors of pure states. Each successive iteration reduces the probability of obtaining a correct measurement for a faulty circuit. ...
... By iteratively applying the same input test vector (a probabilistic test) we are calculating the probability of getting the observed output. The input vectors are always vectors of pure states. Each successive iteration reduces the probability of obtaining a correct measurement for a faulty circuit. ...
It is natural to think of quantum computations as multiparticle
... The classical unit of information is a bit, which can take one of the two values 0 and 1. Thus any macroscopic system, that can take two well-distinguished values is a physical realization of a bit. So an n-bit classical memory register can exist in any of the 2n logical states labelled 00…0 to 11…1 ...
... The classical unit of information is a bit, which can take one of the two values 0 and 1. Thus any macroscopic system, that can take two well-distinguished values is a physical realization of a bit. So an n-bit classical memory register can exist in any of the 2n logical states labelled 00…0 to 11…1 ...
BQP and the Polynomial Hierarchy
... then by simply reinterpreting the existential quantifiers of M as OR gates and the universal quantifiers as AND gates, we obtain an AC0 circuit of size 2poly(n) solving the same problem. It follows that, if we can prove a 2ω(polylog n) lower bound on the size of AC0 circuits computing Parity, we can ...
... then by simply reinterpreting the existential quantifiers of M as OR gates and the universal quantifiers as AND gates, we obtain an AC0 circuit of size 2poly(n) solving the same problem. It follows that, if we can prove a 2ω(polylog n) lower bound on the size of AC0 circuits computing Parity, we can ...
High visibility six-photon entanglement Magnus R˚ admark
... Quantum states like |Qi in Eq. (1.1), that are completely described by their state vector are called pure states. In contrast, mixed states are composed of statistical mixtures of two or more different pure states. Such states can not be properly described by a state vector, but can conveniently be ...
... Quantum states like |Qi in Eq. (1.1), that are completely described by their state vector are called pure states. In contrast, mixed states are composed of statistical mixtures of two or more different pure states. Such states can not be properly described by a state vector, but can conveniently be ...
arXiv:1605.02181v1 [quant
... Teleportation [1] is arguably the most important discovery in quantum information. Teleportation enables the transfer of a quantum state of a system in one site to a system in a remote site. Teleportation requires a connection between the sites: an entanglement channel and a classical channel in whi ...
... Teleportation [1] is arguably the most important discovery in quantum information. Teleportation enables the transfer of a quantum state of a system in one site to a system in a remote site. Teleportation requires a connection between the sites: an entanglement channel and a classical channel in whi ...