N.H. Rev. Stat. § 88-A:8
Subject to this section a fiduciary acting in another state or a person required to pay the tax domiciled in another state may institute an action in the courts of this state and may recover a proportionate amount of the federal estate tax or an estate tax payable to another state or of a death duty due by a decedent's estate to another state from a person interested in the estate who is either domiciled in this state or who owns property in this state subject to attachment or execution. For the purposes of the action the determination of apportionment by the court having jurisdiction of the administration of the decedent's estate in the other state shall be prima facie correct. The provisions of this section apply only if the state in which the determination of apportionment was made affords a substantially similar remedy.
RSA 88-A:8
1959, 158:1. 1996, 83:3, eff. Jan. 1, 1997.