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While the underlying technology promises extremely good scalability, single qubit performance still is a major challenge to all groups in the field. The decision to pursue the Josephson qubit approach was based on several factors that promised to naturally address some of the DiVincenzo criteria. 2.1.1 Long Coherence Time The qubit is formed by quantum states in a superconductor, a material owing its name to the fact that it exhibits no resistance to electrical currents. Early experiments with superconducting magnets have lead to estimated lifetimes of established electrical currents inside such magnets in the hundred thousand year range [Gallop, 1990]. Since energy dissipation is one of the major sources of qubit decoherence, the apparent absence of resistance as a loss mechanism in superconducting circuits lead to the hope that these systems could support qubit states coherently for a very long time. 2.1.2 Scalability The quantum states in Josephson qubits consist of currents and voltages inside electrical circuits built from mostly standard circuit elements like wires, inductors, capacitors, transformers, etc. As such, the majority of the circuit’s behavior can be readily analyzed using standard circuit theory. This greatly simplifies the design 16

of the glue-circuitry needed to connect multiple qubits to their control electronics and to each other. Furthermore, the circuit, once designed, is fabricated in much the same way as a conventional integrated circuit. These two factors should allow for very straightforward scaling, once the single qubit circuit element is understood. The scalability of integrated circuit technology has been proven excessively over the last decades by the incredible increases in complexity of standard computer processors. As of today, there are no obvious indicators that call the applicability of this scalability to quantum circuits into question. 2.1.3 Initialization, Control and Measurement Over the past decades, the arsenal of integrated circuits that can provide exquisite voltage and current control and measurement has grown immensely and is becoming continuously more affordable. Specifically the microwave electronics industry has grown rapidly thanks to the high demand for wireless devices of all sorts. The frequencies, voltage and current levels, and control accuracies required for the purposes of building superconducting quantum bits match the industry standards extremely well. Thus, commercial control and readout electronics is very available, giving a lot of flexibility to the design of operation and readout schemes. 17

While the underlying technology promises extremely good scalability, single qubit<br />

performance still is a major challenge to all groups in the field.<br />

The decision to pursue the Josephson qubit approach was based on several<br />

factors that promised to naturally address some <strong>of</strong> the DiVincenzo criteria.<br />

2.1.1 Long Coherence Time<br />

The qubit is formed by quantum states in a superconductor, a material owing<br />

its name to the fact that it exhibits no resistance to electrical currents. Early<br />

experiments with superconducting magnets have lead to estimated lifetimes <strong>of</strong><br />

established electrical currents inside such magnets in the hundred thousand year<br />

range [Gallop, 1990].<br />

Since energy dissipation is one <strong>of</strong> the major sources <strong>of</strong><br />

qubit decoherence, the apparent absence <strong>of</strong> resistance as a loss mechanism in<br />

superconducting circuits lead to the hope that these systems could support qubit<br />

states coherently for a very long time.<br />

2.1.2 Scalability<br />

The quantum states in Josephson qubits consist <strong>of</strong> currents and voltages inside<br />

electrical circuits built from mostly standard circuit elements like wires, inductors,<br />

capacitors, transformers, etc. As such, the majority <strong>of</strong> the circuit’s behavior can be<br />

readily analyzed using standard circuit theory. This greatly simplifies the design<br />

16

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