This study elucidates the theory of phonon-induced decoherence of a double dot charge qubit that is embedded inside a suspended semiconductor slab. The influences of the lattice temperature, width of the slab, and positions of the dots on the decoherence are analyzed. Numerical results indicate that the decoherence in the slab system is weaker than that in a bulk environment. In particular, the decoherence is markedly suppressed by the inhibition of the electron-phonon coupling. Such a system with low decoherence may be useful for manipulating the qubits.Various candidates for building blocks of quantum computers have been proposed 1-4 and demonstrated 5-8 using nanoscale solid state structures. Among them, the semiconductor double quantum dot ͑DQD͒ is a prototype of a solid state qubit, which comprises a pair of quantum dots connected through an interdot tunneling barrier. 9 The DQD acts as a two-level system when at most one excess electron is allowed in the double dot potential. 10 The two logical states correspond to the localized states of the excess electron in one or the other dot. Accordingly, the state of the charge qubit can be expressed as a linear superposition of the two localized states, and has recently been demonstrated in a GaAs/ AlGaAs heterostructure. 6,7 An important advantage of this system is that all of the qubit parameters can be controlled by varying the external gate voltages. Furthermore, it may have great potential for scalability and integration with current microelectronic technologies.However, various mechanisms may destroy the coherence of the system since the charge qubit can never be isolated completely from its environment. 6 The electron-phonon interaction is one possible decoherence channel and has been theoretically investigated. It ranges from a single charge qubit 11-16 to two coupled charge qubits. 17 Although many works have focused on bulk cases, the decoherence of a charge qubit in a confined structure has received little attention. Unlike bulk material, the confined structure supports the tailoring of the phonon density of states by altering the dimensions. 18-21 Therefore, the charge qubit in a confined structure is expected to exhibit some interesting characteristics.This work investigates the decoherence of a DQD qubit that is embedded inside a suspended semiconductor slab. To study the decoherence of the qubit, the master equation is solved under the Born-Markov approximation. 22-24 The qubit of higher quality is found in the slab system. In particular, the decoherence is dramatically suppressed by the inhibition of the electron-phonon coupling, suggesting that a robust DQD qubit can be achieved in a suspended structure.Consider the setup shown in Fig. 1, in which a single electron is confined in a GaAs double dot structure that is embedded inside a freestanding slab. With advances in novel nanofabrication technology, quantum dots can now be embedded into the suspended structure. 20,21 Most of the structure is spatially separated from most of the substrate such tha...