Abstract: A glass article including any one or several of SiO2, Al2O3, B2O3, Li2O, SnO2 and a fusion line. The glass article can also include a liquidus viscosity less than or equal to 100 kP. In some embodiments, the glass article includes, on an oxide basis, from 60 mol % to 74 mol % SiO2, from 7 mol % to 18 mol % Al2O3, from 3 mol % to 16 mol % B2O3, from 0 mol % to 6 mol % Na2O, from 0 mol % to 5 mol % P2O5, from 5 mol % to 11 mol % Li2O, less than or equal to 0.2 mol % SnO2.

Abstract: A foot orthotic having a foot support where the foot support includes a thermoplastic outer shell, a closed cell foam liner within the outer shell, and a tongue to secure the user's foot within the foot support. The orthotic also typically has includes a lower leg support that includes a thermoplastic outer shell, a closed cell foam liner within the outer shell, and a strap to secure the orthotic to the user's leg within the lower leg support. A cinching mechanism that typically has a rotatable tightening knob is on the lower leg support, and a tightening cable coupled to the rotatable tightening knob and operably connected to the foot support.

Abstract: Methods of digital communication utilizing entangled qubits are disclosed. The communication methods exploit selective entanglement swapping to transfer an entangled state between a sending device and a receiving device. Each device includes pairs of qubits that are independently entangled with pairs of qubits in the other device. By selectively entangling the qubits within a pair in the sending device, the qubits of the corresponding pair in the receiving device also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, the disclosed methods determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data to transfer classical bits in a qubit-efficient approach.

Abstract: Methods of digital communication utilizing entangled qubits are disclosed. The communication methods exploit selective entanglement swapping to transfer an entangled state between a sending device and a receiving device. Each device includes pairs of qubits that are independently entangled with pairs of qubits in the other device. By selectively entangling the qubits within a pair in the sending device, the qubits of the corresponding pair in the receiving device also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, the disclosed methods determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data to transfer classical bits in a qubit-efficient approach.

Abstract: Digital communication systems utilizing entangled qubits are disclosed. The disclosed systems and component sending devices and receiving devices exploit selective entanglement swapping to transfer an entangled state between the sending device and the receiving device. Each device includes pairs of qubits that are independently entangled with pairs of qubits in the other device. By selectively entangling the qubits within a pair in the sending device, the qubits of the corresponding pair in the receiving device also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, systems of the present disclosure determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data.

Abstract: Digital communication systems utilizing entangled qubits are disclosed. The disclosed systems and component sending devices and receiving devices exploit selective entanglement swapping to transfer an entangled state between the sending device and the receiving device. Each device includes pairs of qubits that are independently entangled with pairs of qubits in the other device. By selectively entangling the qubits within a pair in the sending device, the qubits of the corresponding pair in the receiving device also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, systems of the present disclosure determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data.

Abstract: Systems and methods for digital communication utilizing entangled qubits are disclosed. The disclosed systems and methods exploit selective entanglement swapping to transfer an entangled state between a sending device and a receiving device. Each device includes pairs of qubits that are independently entangled with pairs of qubits in the other device. By selectively entangling the qubits within a pair in the sending device, the qubits of the corresponding pair in the receiving device also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, systems and methods of the present disclosure determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data.

Abstract: Systems and methods for digital communication utilizing entangled qubits are disclosed. The disclosed systems and methods exploit selective entanglement swapping to transfer an entangled state between sites. Each site includes pairs of qubits that are independently entangled with pairs of qubits at the other site. By selectively entangling the qubits within a pair at one site, the qubits of the corresponding pair at the other site also are selectively entangled. When the qubits are entangled, they are projected onto a particular entangled state type. Though no information may be transferred through selective entanglement of one qubit pair, systems and methods of the present disclosure determine whether a set of pairs of qubits are entangled by determining whether the distribution of pairs is a correlated or uncorrelated distribution (a probabilistic approach) and transform the distribution type to a classical bit of data.